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Finding the Fourth Proportional to 649.54, 974.38 and 216.74

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Solution

The fourth proportional to 649.54, 974.38 and 216.74 is: 325.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.54 : 974.38 = 216.74 : x
  2. Step 2: Convert to fraction form
    649.54/974.38 = 216.74/x
  3. Step 3: Cross multiply
    649.54x = 974.38 × 216.74
  4. Step 4: Simplify right side
    649.54x = 211,187.12
  5. Step 5: Solve for x
    x = 211,187.12/649.54
  6. Step 6: Final answer
    x = 325.13

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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.