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Finding the Fourth Proportional to 609.47, 840.56 and 410.32

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Solution

The fourth proportional to 609.47, 840.56 and 410.32 is: 565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.47 : 840.56 = 410.32 : x
  2. Step 2: Convert to fraction form
    609.47/840.56 = 410.32/x
  3. Step 3: Cross multiply
    609.47x = 840.56 × 410.32
  4. Step 4: Simplify right side
    609.47x = 344,898.58
  5. Step 5: Solve for x
    x = 344,898.58/609.47
  6. Step 6: Final answer
    x = 565.90

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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.