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Finding the Fourth Proportional to 362.40, 542.32 and 248.48

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Solution

The fourth proportional to 362.40, 542.32 and 248.48 is: 371.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.40 : 542.32 = 248.48 : x
  2. Step 2: Convert to fraction form
    362.40/542.32 = 248.48/x
  3. Step 3: Cross multiply
    362.40x = 542.32 × 248.48
  4. Step 4: Simplify right side
    362.40x = 134,755.67
  5. Step 5: Solve for x
    x = 134,755.67/362.40
  6. Step 6: Final answer
    x = 371.84

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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.