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Finding the Fourth Proportional to 354.92, 533.82 and 282.92

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Solution

The fourth proportional to 354.92, 533.82 and 282.92 is: 425.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.92 : 533.82 = 282.92 : x
  2. Step 2: Convert to fraction form
    354.92/533.82 = 282.92/x
  3. Step 3: Cross multiply
    354.92x = 533.82 × 282.92
  4. Step 4: Simplify right side
    354.92x = 151,028.35
  5. Step 5: Solve for x
    x = 151,028.35/354.92
  6. Step 6: Final answer
    x = 425.53

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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.