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Finding the Fourth Proportional to 458.96, 688.35 and 170.42

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Solution

The fourth proportional to 458.96, 688.35 and 170.42 is: 255.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.96 : 688.35 = 170.42 : x
  2. Step 2: Convert to fraction form
    458.96/688.35 = 170.42/x
  3. Step 3: Cross multiply
    458.96x = 688.35 × 170.42
  4. Step 4: Simplify right side
    458.96x = 117,308.61
  5. Step 5: Solve for x
    x = 117,308.61/458.96
  6. Step 6: Final answer
    x = 255.60

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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.