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Finding the Fourth Proportional to 637.92, 957.16 and 406.74

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Solution

The fourth proportional to 637.92, 957.16 and 406.74 is: 610.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.92 : 957.16 = 406.74 : x
  2. Step 2: Convert to fraction form
    637.92/957.16 = 406.74/x
  3. Step 3: Cross multiply
    637.92x = 957.16 × 406.74
  4. Step 4: Simplify right side
    637.92x = 389,315.26
  5. Step 5: Solve for x
    x = 389,315.26/637.92
  6. Step 6: Final answer
    x = 610.29

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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.