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Finding the Fourth Proportional to 362.14, 542.31 and 280.30

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Solution

The fourth proportional to 362.14, 542.31 and 280.30 is: 419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.14 : 542.31 = 280.30 : x
  2. Step 2: Convert to fraction form
    362.14/542.31 = 280.30/x
  3. Step 3: Cross multiply
    362.14x = 542.31 × 280.30
  4. Step 4: Simplify right side
    362.14x = 152,009.49
  5. Step 5: Solve for x
    x = 152,009.49/362.14
  6. Step 6: Final answer
    x = 419.75

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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.