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Finding the Fourth Proportional to 457.67, 686.89 and 269.87

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Solution

The fourth proportional to 457.67, 686.89 and 269.87 is: 405.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.67 : 686.89 = 269.87 : x
  2. Step 2: Convert to fraction form
    457.67/686.89 = 269.87/x
  3. Step 3: Cross multiply
    457.67x = 686.89 × 269.87
  4. Step 4: Simplify right side
    457.67x = 185,369.65
  5. Step 5: Solve for x
    x = 185,369.65/457.67
  6. Step 6: Final answer
    x = 405.03

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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.