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Finding the Fourth Proportional to 410.86, 615.77 and 150.65

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Solution

The fourth proportional to 410.86, 615.77 and 150.65 is: 225.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.86 : 615.77 = 150.65 : x
  2. Step 2: Convert to fraction form
    410.86/615.77 = 150.65/x
  3. Step 3: Cross multiply
    410.86x = 615.77 × 150.65
  4. Step 4: Simplify right side
    410.86x = 92,765.75
  5. Step 5: Solve for x
    x = 92,765.75/410.86
  6. Step 6: Final answer
    x = 225.78

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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.