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Finding the Fourth Proportional to 520.50, 718.24 and 299.40

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Solution

The fourth proportional to 520.50, 718.24 and 299.40 is: 413.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.50 : 718.24 = 299.40 : x
  2. Step 2: Convert to fraction form
    520.50/718.24 = 299.40/x
  3. Step 3: Cross multiply
    520.50x = 718.24 × 299.40
  4. Step 4: Simplify right side
    520.50x = 215,039.56
  5. Step 5: Solve for x
    x = 215,039.56/520.50
  6. Step 6: Final answer
    x = 413.14

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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.