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Finding the Fourth Proportional to 458.67, 688.04 and 134.04

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Solution

The fourth proportional to 458.67, 688.04 and 134.04 is: 201.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.67 : 688.04 = 134.04 : x
  2. Step 2: Convert to fraction form
    458.67/688.04 = 134.04/x
  3. Step 3: Cross multiply
    458.67x = 688.04 × 134.04
  4. Step 4: Simplify right side
    458.67x = 92,224.88
  5. Step 5: Solve for x
    x = 92,224.88/458.67
  6. Step 6: Final answer
    x = 201.07

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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.