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Finding the Fourth Proportional to 520.59, 718.30 and 299.46

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Solution

The fourth proportional to 520.59, 718.30 and 299.46 is: 413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.59 : 718.30 = 299.46 : x
  2. Step 2: Convert to fraction form
    520.59/718.30 = 299.46/x
  3. Step 3: Cross multiply
    520.59x = 718.30 × 299.46
  4. Step 4: Simplify right side
    520.59x = 215,102.12
  5. Step 5: Solve for x
    x = 215,102.12/520.59
  6. Step 6: Final answer
    x = 413.19

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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.