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Finding the Fourth Proportional to 520.74, 781.52 and 338.09

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Solution

The fourth proportional to 520.74, 781.52 and 338.09 is: 507.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.74 : 781.52 = 338.09 : x
  2. Step 2: Convert to fraction form
    520.74/781.52 = 338.09/x
  3. Step 3: Cross multiply
    520.74x = 781.52 × 338.09
  4. Step 4: Simplify right side
    520.74x = 264,218.50
  5. Step 5: Solve for x
    x = 264,218.50/520.74
  6. Step 6: Final answer
    x = 507.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.