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Finding the Fourth Proportional to 407.39, 610.72 and 147.33

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Solution

The fourth proportional to 407.39, 610.72 and 147.33 is: 220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.39 : 610.72 = 147.33 : x
  2. Step 2: Convert to fraction form
    407.39/610.72 = 147.33/x
  3. Step 3: Cross multiply
    407.39x = 610.72 × 147.33
  4. Step 4: Simplify right side
    407.39x = 89,976.64
  5. Step 5: Solve for x
    x = 89,976.64/407.39
  6. Step 6: Final answer
    x = 220.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.