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Finding the Fourth Proportional to 362.75, 542.84 and 269.87

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Solution

The fourth proportional to 362.75, 542.84 and 269.87 is: 403.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.75 : 542.84 = 269.87 : x
  2. Step 2: Convert to fraction form
    362.75/542.84 = 269.87/x
  3. Step 3: Cross multiply
    362.75x = 542.84 × 269.87
  4. Step 4: Simplify right side
    362.75x = 146,492.17
  5. Step 5: Solve for x
    x = 146,492.17/362.75
  6. Step 6: Final answer
    x = 403.84

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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.