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Finding the Fourth Proportional to 424.46, 584.46 and 423.24

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Solution

The fourth proportional to 424.46, 584.46 and 423.24 is: 582.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.46 : 584.46 = 423.24 : x
  2. Step 2: Convert to fraction form
    424.46/584.46 = 423.24/x
  3. Step 3: Cross multiply
    424.46x = 584.46 × 423.24
  4. Step 4: Simplify right side
    424.46x = 247,366.85
  5. Step 5: Solve for x
    x = 247,366.85/424.46
  6. Step 6: Final answer
    x = 582.79

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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.