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Finding the Fourth Proportional to 509.47, 763.84 and 413.71

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Solution

The fourth proportional to 509.47, 763.84 and 413.71 is: 620.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.47 : 763.84 = 413.71 : x
  2. Step 2: Convert to fraction form
    509.47/763.84 = 413.71/x
  3. Step 3: Cross multiply
    509.47x = 763.84 × 413.71
  4. Step 4: Simplify right side
    509.47x = 316,008.25
  5. Step 5: Solve for x
    x = 316,008.25/509.47
  6. Step 6: Final answer
    x = 620.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.