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Finding the Fourth Proportional to 461.14, 691.74 and 172.54

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Solution

The fourth proportional to 461.14, 691.74 and 172.54 is: 258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.14 : 691.74 = 172.54 : x
  2. Step 2: Convert to fraction form
    461.14/691.74 = 172.54/x
  3. Step 3: Cross multiply
    461.14x = 691.74 × 172.54
  4. Step 4: Simplify right side
    461.14x = 119,352.82
  5. Step 5: Solve for x
    x = 119,352.82/461.14
  6. Step 6: Final answer
    x = 258.82

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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.