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Finding the Fourth Proportional to 521.05, 781.59 and 155.83

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Solution

The fourth proportional to 521.05, 781.59 and 155.83 is: 233.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.05 : 781.59 = 155.83 : x
  2. Step 2: Convert to fraction form
    521.05/781.59 = 155.83/x
  3. Step 3: Cross multiply
    521.05x = 781.59 × 155.83
  4. Step 4: Simplify right side
    521.05x = 121,795.17
  5. Step 5: Solve for x
    x = 121,795.17/521.05
  6. Step 6: Final answer
    x = 233.75

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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.