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Finding the Fourth Proportional to 520.47, 718.14 and 299.43

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Solution

The fourth proportional to 520.47, 718.14 and 299.43 is: 413.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.47 : 718.14 = 299.43 : x
  2. Step 2: Convert to fraction form
    520.47/718.14 = 299.43/x
  3. Step 3: Cross multiply
    520.47x = 718.14 × 299.43
  4. Step 4: Simplify right side
    520.47x = 215,032.66
  5. Step 5: Solve for x
    x = 215,032.66/520.47
  6. Step 6: Final answer
    x = 413.15

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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.