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Finding the Fourth Proportional to 423.97, 584.71 and 276.55

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Solution

The fourth proportional to 423.97, 584.71 and 276.55 is: 381.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.97 : 584.71 = 276.55 : x
  2. Step 2: Convert to fraction form
    423.97/584.71 = 276.55/x
  3. Step 3: Cross multiply
    423.97x = 584.71 × 276.55
  4. Step 4: Simplify right side
    423.97x = 161,701.55
  5. Step 5: Solve for x
    x = 161,701.55/423.97
  6. Step 6: Final answer
    x = 381.40

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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.