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Finding the Fourth Proportional to 521.00, 781.82 and 277.68

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Solution

The fourth proportional to 521.00, 781.82 and 277.68 is: 416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.00 : 781.82 = 277.68 : x
  2. Step 2: Convert to fraction form
    521.00/781.82 = 277.68/x
  3. Step 3: Cross multiply
    521.00x = 781.82 × 277.68
  4. Step 4: Simplify right side
    521.00x = 217,098.43
  5. Step 5: Solve for x
    x = 217,098.43/521.00
  6. Step 6: Final answer
    x = 416.70

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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.