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Finding the Fourth Proportional to 521.76, 782.96 and 233.18

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Solution

The fourth proportional to 521.76, 782.96 and 233.18 is: 349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.76 : 782.96 = 233.18 : x
  2. Step 2: Convert to fraction form
    521.76/782.96 = 233.18/x
  3. Step 3: Cross multiply
    521.76x = 782.96 × 233.18
  4. Step 4: Simplify right side
    521.76x = 182,570.61
  5. Step 5: Solve for x
    x = 182,570.61/521.76
  6. Step 6: Final answer
    x = 349.91

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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.