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Finding the Fourth Proportional to 606.40, 909.12 and 411.16

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Solution

The fourth proportional to 606.40, 909.12 and 411.16 is: 616.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.40 : 909.12 = 411.16 : x
  2. Step 2: Convert to fraction form
    606.40/909.12 = 411.16/x
  3. Step 3: Cross multiply
    606.40x = 909.12 × 411.16
  4. Step 4: Simplify right side
    606.40x = 373,793.78
  5. Step 5: Solve for x
    x = 373,793.78/606.40
  6. Step 6: Final answer
    x = 616.41

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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.