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Finding the Fourth Proportional to 362.48, 542.43 and 296.69

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Solution

The fourth proportional to 362.48, 542.43 and 296.69 is: 443.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.48 : 542.43 = 296.69 : x
  2. Step 2: Convert to fraction form
    362.48/542.43 = 296.69/x
  3. Step 3: Cross multiply
    362.48x = 542.43 × 296.69
  4. Step 4: Simplify right side
    362.48x = 160,930.84
  5. Step 5: Solve for x
    x = 160,930.84/362.48
  6. Step 6: Final answer
    x = 443.98

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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.