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Finding the Fourth Proportional to 423.71, 584.56 and 257.86

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Solution

The fourth proportional to 423.71, 584.56 and 257.86 is: 355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.71 : 584.56 = 257.86 : x
  2. Step 2: Convert to fraction form
    423.71/584.56 = 257.86/x
  3. Step 3: Cross multiply
    423.71x = 584.56 × 257.86
  4. Step 4: Simplify right side
    423.71x = 150,734.64
  5. Step 5: Solve for x
    x = 150,734.64/423.71
  6. Step 6: Final answer
    x = 355.75

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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.