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Finding the Fourth Proportional to 352.31, 527.72 and 283.46

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Solution

The fourth proportional to 352.31, 527.72 and 283.46 is: 424.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.31 : 527.72 = 283.46 : x
  2. Step 2: Convert to fraction form
    352.31/527.72 = 283.46/x
  3. Step 3: Cross multiply
    352.31x = 527.72 × 283.46
  4. Step 4: Simplify right side
    352.31x = 149,583.46
  5. Step 5: Solve for x
    x = 149,583.46/352.31
  6. Step 6: Final answer
    x = 424.59

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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.