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Finding the Fourth Proportional to 562.61, 775.64 and 413.17

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Solution

The fourth proportional to 562.61, 775.64 and 413.17 is: 569.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.61 : 775.64 = 413.17 : x
  2. Step 2: Convert to fraction form
    562.61/775.64 = 413.17/x
  3. Step 3: Cross multiply
    562.61x = 775.64 × 413.17
  4. Step 4: Simplify right side
    562.61x = 320,470.27
  5. Step 5: Solve for x
    x = 320,470.27/562.61
  6. Step 6: Final answer
    x = 569.61

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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.