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Finding the Fourth Proportional to 637.76, 957.14 and 407.04

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Solution

The fourth proportional to 637.76, 957.14 and 407.04 is: 610.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.76 : 957.14 = 407.04 : x
  2. Step 2: Convert to fraction form
    637.76/957.14 = 407.04/x
  3. Step 3: Cross multiply
    637.76x = 957.14 × 407.04
  4. Step 4: Simplify right side
    637.76x = 389,592.23
  5. Step 5: Solve for x
    x = 389,592.23/637.76
  6. Step 6: Final answer
    x = 610.88

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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.