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Finding the Fourth Proportional to 362.35, 542.84 and 280.79

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Solution

The fourth proportional to 362.35, 542.84 and 280.79 is: 420.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.35 : 542.84 = 280.79 : x
  2. Step 2: Convert to fraction form
    362.35/542.84 = 280.79/x
  3. Step 3: Cross multiply
    362.35x = 542.84 × 280.79
  4. Step 4: Simplify right side
    362.35x = 152,421.96
  5. Step 5: Solve for x
    x = 152,421.96/362.35
  6. Step 6: Final answer
    x = 420.65

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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.