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Finding the Fourth Proportional to 411.42, 617.66 and 377.46

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Solution

The fourth proportional to 411.42, 617.66 and 377.46 is: 566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.42 : 617.66 = 377.46 : x
  2. Step 2: Convert to fraction form
    411.42/617.66 = 377.46/x
  3. Step 3: Cross multiply
    411.42x = 617.66 × 377.46
  4. Step 4: Simplify right side
    411.42x = 233,141.94
  5. Step 5: Solve for x
    x = 233,141.94/411.42
  6. Step 6: Final answer
    x = 566.68

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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.