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Finding the Fourth Proportional to 407.28, 610.82 and 114.70

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Solution

The fourth proportional to 407.28, 610.82 and 114.70 is: 172.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.28 : 610.82 = 114.70 : x
  2. Step 2: Convert to fraction form
    407.28/610.82 = 114.70/x
  3. Step 3: Cross multiply
    407.28x = 610.82 × 114.70
  4. Step 4: Simplify right side
    407.28x = 70,061.05
  5. Step 5: Solve for x
    x = 70,061.05/407.28
  6. Step 6: Final answer
    x = 172.02

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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.