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Finding the Fourth Proportional to 521.64, 782.46 and 232.74

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Solution

The fourth proportional to 521.64, 782.46 and 232.74 is: 349.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.64 : 782.46 = 232.74 : x
  2. Step 2: Convert to fraction form
    521.64/782.46 = 232.74/x
  3. Step 3: Cross multiply
    521.64x = 782.46 × 232.74
  4. Step 4: Simplify right side
    521.64x = 182,109.74
  5. Step 5: Solve for x
    x = 182,109.74/521.64
  6. Step 6: Final answer
    x = 349.11

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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.