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Finding the Fourth Proportional to 521.13, 782.06 and 232.59

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Solution

The fourth proportional to 521.13, 782.06 and 232.59 is: 349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.13 : 782.06 = 232.59 : x
  2. Step 2: Convert to fraction form
    521.13/782.06 = 232.59/x
  3. Step 3: Cross multiply
    521.13x = 782.06 × 232.59
  4. Step 4: Simplify right side
    521.13x = 181,898.17
  5. Step 5: Solve for x
    x = 181,898.17/521.13
  6. Step 6: Final answer
    x = 349.05

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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.