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Finding the Fourth Proportional to 520.95, 718.90 and 299.88

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Solution

The fourth proportional to 520.95, 718.90 and 299.88 is: 413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.95 : 718.90 = 299.88 : x
  2. Step 2: Convert to fraction form
    520.95/718.90 = 299.88/x
  3. Step 3: Cross multiply
    520.95x = 718.90 × 299.88
  4. Step 4: Simplify right side
    520.95x = 215,583.73
  5. Step 5: Solve for x
    x = 215,583.73/520.95
  6. Step 6: Final answer
    x = 413.83

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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.