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Finding the Fourth Proportional to 592.52, 817.05 and 413.27

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Solution

The fourth proportional to 592.52, 817.05 and 413.27 is: 569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.52 : 817.05 = 413.27 : x
  2. Step 2: Convert to fraction form
    592.52/817.05 = 413.27/x
  3. Step 3: Cross multiply
    592.52x = 817.05 × 413.27
  4. Step 4: Simplify right side
    592.52x = 337,663.29
  5. Step 5: Solve for x
    x = 337,663.29/592.52
  6. Step 6: Final answer
    x = 569.88

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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.