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Finding the Fourth Proportional to 487.32, 671.34 and 408.48

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Solution

The fourth proportional to 487.32, 671.34 and 408.48 is: 562.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.32 : 671.34 = 408.48 : x
  2. Step 2: Convert to fraction form
    487.32/671.34 = 408.48/x
  3. Step 3: Cross multiply
    487.32x = 671.34 × 408.48
  4. Step 4: Simplify right side
    487.32x = 274,228.96
  5. Step 5: Solve for x
    x = 274,228.96/487.32
  6. Step 6: Final answer
    x = 562.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.