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Finding the Fourth Proportional to 649.91, 974.89 and 325.16

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Solution

The fourth proportional to 649.91, 974.89 and 325.16 is: 487.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.91 : 974.89 = 325.16 : x
  2. Step 2: Convert to fraction form
    649.91/974.89 = 325.16/x
  3. Step 3: Cross multiply
    649.91x = 974.89 × 325.16
  4. Step 4: Simplify right side
    649.91x = 316,995.23
  5. Step 5: Solve for x
    x = 316,995.23/649.91
  6. Step 6: Final answer
    x = 487.76

Related Problems

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Half scale
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Double scale
Find fourth proportional to 650.91, 976.39 and 326.16
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.