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Finding the Fourth Proportional to 423.60, 584.40 and 257.72

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Solution

The fourth proportional to 423.60, 584.40 and 257.72 is: 355.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.60 : 584.40 = 257.72 : x
  2. Step 2: Convert to fraction form
    423.60/584.40 = 257.72/x
  3. Step 3: Cross multiply
    423.60x = 584.40 × 257.72
  4. Step 4: Simplify right side
    423.60x = 150,611.57
  5. Step 5: Solve for x
    x = 150,611.57/423.60
  6. Step 6: Final answer
    x = 355.55

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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.