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Finding the Fourth Proportional to 411.32, 617.70 and 378.76

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Solution

The fourth proportional to 411.32, 617.70 and 378.76 is: 568.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.32 : 617.70 = 378.76 : x
  2. Step 2: Convert to fraction form
    411.32/617.70 = 378.76/x
  3. Step 3: Cross multiply
    411.32x = 617.70 × 378.76
  4. Step 4: Simplify right side
    411.32x = 233,960.05
  5. Step 5: Solve for x
    x = 233,960.05/411.32
  6. Step 6: Final answer
    x = 568.80

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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.