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Finding the Fourth Proportional to 649.59, 974.75 and 238.84

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Solution

The fourth proportional to 649.59, 974.75 and 238.84 is: 358.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.59 : 974.75 = 238.84 : x
  2. Step 2: Convert to fraction form
    649.59/974.75 = 238.84/x
  3. Step 3: Cross multiply
    649.59x = 974.75 × 238.84
  4. Step 4: Simplify right side
    649.59x = 232,809.29
  5. Step 5: Solve for x
    x = 232,809.29/649.59
  6. Step 6: Final answer
    x = 358.39

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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.