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Finding the Fourth Proportional to 585.18, 807.17 and 410.22

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Solution

The fourth proportional to 585.18, 807.17 and 410.22 is: 565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.18 : 807.17 = 410.22 : x
  2. Step 2: Convert to fraction form
    585.18/807.17 = 410.22/x
  3. Step 3: Cross multiply
    585.18x = 807.17 × 410.22
  4. Step 4: Simplify right side
    585.18x = 331,115.23
  5. Step 5: Solve for x
    x = 331,115.23/585.18
  6. Step 6: Final answer
    x = 565.83

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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.