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Finding the Fourth Proportional to 362.70, 542.85 and 296.94

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Solution

The fourth proportional to 362.70, 542.85 and 296.94 is: 444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.70 : 542.85 = 296.94 : x
  2. Step 2: Convert to fraction form
    362.70/542.85 = 296.94/x
  3. Step 3: Cross multiply
    362.70x = 542.85 × 296.94
  4. Step 4: Simplify right side
    362.70x = 161,193.88
  5. Step 5: Solve for x
    x = 161,193.88/362.70
  6. Step 6: Final answer
    x = 444.43

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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.