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Finding the Fourth Proportional to 521.80, 782.42 and 232.90

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Solution

The fourth proportional to 521.80, 782.42 and 232.90 is: 349.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.80 : 782.42 = 232.90 : x
  2. Step 2: Convert to fraction form
    521.80/782.42 = 232.90/x
  3. Step 3: Cross multiply
    521.80x = 782.42 × 232.90
  4. Step 4: Simplify right side
    521.80x = 182,225.62
  5. Step 5: Solve for x
    x = 182,225.62/521.80
  6. Step 6: Final answer
    x = 349.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.