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Finding the Fourth Proportional to 423.90, 584.76 and 276.29

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Solution

The fourth proportional to 423.90, 584.76 and 276.29 is: 381.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.90 : 584.76 = 276.29 : x
  2. Step 2: Convert to fraction form
    423.90/584.76 = 276.29/x
  3. Step 3: Cross multiply
    423.90x = 584.76 × 276.29
  4. Step 4: Simplify right side
    423.90x = 161,560.42
  5. Step 5: Solve for x
    x = 161,560.42/423.90
  6. Step 6: Final answer
    x = 381.13

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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.