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Finding the Fourth Proportional to 521.46, 782.28 and 233.10

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Solution

The fourth proportional to 521.46, 782.28 and 233.10 is: 349.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.46 : 782.28 = 233.10 : x
  2. Step 2: Convert to fraction form
    521.46/782.28 = 233.10/x
  3. Step 3: Cross multiply
    521.46x = 782.28 × 233.10
  4. Step 4: Simplify right side
    521.46x = 182,349.47
  5. Step 5: Solve for x
    x = 182,349.47/521.46
  6. Step 6: Final answer
    x = 349.69

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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.