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Finding the Fourth Proportional to 520.45, 718.23 and 299.42

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Solution

The fourth proportional to 520.45, 718.23 and 299.42 is: 413.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.45 : 718.23 = 299.42 : x
  2. Step 2: Convert to fraction form
    520.45/718.23 = 299.42/x
  3. Step 3: Cross multiply
    520.45x = 718.23 × 299.42
  4. Step 4: Simplify right side
    520.45x = 215,050.97
  5. Step 5: Solve for x
    x = 215,050.97/520.45
  6. Step 6: Final answer
    x = 413.20

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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.