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Finding the Fourth Proportional to 638.96, 881.36 and 406.24

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Solution

The fourth proportional to 638.96, 881.36 and 406.24 is: 560.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.96 : 881.36 = 406.24 : x
  2. Step 2: Convert to fraction form
    638.96/881.36 = 406.24/x
  3. Step 3: Cross multiply
    638.96x = 881.36 × 406.24
  4. Step 4: Simplify right side
    638.96x = 358,043.69
  5. Step 5: Solve for x
    x = 358,043.69/638.96
  6. Step 6: Final answer
    x = 560.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.