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Finding the Fourth Proportional to 637.17, 954.59 and 406.10

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Solution

The fourth proportional to 637.17, 954.59 and 406.10 is: 608.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.17 : 954.59 = 406.10 : x
  2. Step 2: Convert to fraction form
    637.17/954.59 = 406.10/x
  3. Step 3: Cross multiply
    637.17x = 954.59 × 406.10
  4. Step 4: Simplify right side
    637.17x = 387,652.20
  5. Step 5: Solve for x
    x = 387,652.20/637.17
  6. Step 6: Final answer
    x = 608.40

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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.