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Finding the Fourth Proportional to 458.10, 686.79 and 169.38

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Solution

The fourth proportional to 458.10, 686.79 and 169.38 is: 253.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.10 : 686.79 = 169.38 : x
  2. Step 2: Convert to fraction form
    458.10/686.79 = 169.38/x
  3. Step 3: Cross multiply
    458.10x = 686.79 × 169.38
  4. Step 4: Simplify right side
    458.10x = 116,328.49
  5. Step 5: Solve for x
    x = 116,328.49/458.10
  6. Step 6: Final answer
    x = 253.94

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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.