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Finding the Fourth Proportional to 458.68, 687.90 and 170.20

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Solution

The fourth proportional to 458.68, 687.90 and 170.20 is: 255.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.68 : 687.90 = 170.20 : x
  2. Step 2: Convert to fraction form
    458.68/687.90 = 170.20/x
  3. Step 3: Cross multiply
    458.68x = 687.90 × 170.20
  4. Step 4: Simplify right side
    458.68x = 117,080.58
  5. Step 5: Solve for x
    x = 117,080.58/458.68
  6. Step 6: Final answer
    x = 255.26

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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.