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Finding the Fourth Proportional to 521.09, 781.64 and 495.14

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Solution

The fourth proportional to 521.09, 781.64 and 495.14 is: 742.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.09 : 781.64 = 495.14 : x
  2. Step 2: Convert to fraction form
    521.09/781.64 = 495.14/x
  3. Step 3: Cross multiply
    521.09x = 781.64 × 495.14
  4. Step 4: Simplify right side
    521.09x = 387,018.75
  5. Step 5: Solve for x
    x = 387,018.75/521.09
  6. Step 6: Final answer
    x = 742.71

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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.