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Finding the Fourth Proportional to 520.71, 781.25 and 277.26

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Solution

The fourth proportional to 520.71, 781.25 and 277.26 is: 415.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.71 : 781.25 = 277.26 : x
  2. Step 2: Convert to fraction form
    520.71/781.25 = 277.26/x
  3. Step 3: Cross multiply
    520.71x = 781.25 × 277.26
  4. Step 4: Simplify right side
    520.71x = 216,607.99
  5. Step 5: Solve for x
    x = 216,607.99/520.71
  6. Step 6: Final answer
    x = 415.99

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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.