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Finding the Fourth Proportional to 407.46, 611.25 and 147.48

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Solution

The fourth proportional to 407.46, 611.25 and 147.48 is: 221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.46 : 611.25 = 147.48 : x
  2. Step 2: Convert to fraction form
    407.46/611.25 = 147.48/x
  3. Step 3: Cross multiply
    407.46x = 611.25 × 147.48
  4. Step 4: Simplify right side
    407.46x = 90,147.15
  5. Step 5: Solve for x
    x = 90,147.15/407.46
  6. Step 6: Final answer
    x = 221.24

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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.