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Finding the Fourth Proportional to 649.71, 974.57 and 394.83

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Solution

The fourth proportional to 649.71, 974.57 and 394.83 is: 592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.71 : 974.57 = 394.83 : x
  2. Step 2: Convert to fraction form
    649.71/974.57 = 394.83/x
  3. Step 3: Cross multiply
    649.71x = 974.57 × 394.83
  4. Step 4: Simplify right side
    649.71x = 384,787.50
  5. Step 5: Solve for x
    x = 384,787.50/649.71
  6. Step 6: Final answer
    x = 592.25

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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.