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Finding the Fourth Proportional to 283.87, 423.31 and 264.40

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Solution

The fourth proportional to 283.87, 423.31 and 264.40 is: 394.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.87 : 423.31 = 264.40 : x
  2. Step 2: Convert to fraction form
    283.87/423.31 = 264.40/x
  3. Step 3: Cross multiply
    283.87x = 423.31 × 264.40
  4. Step 4: Simplify right side
    283.87x = 111,923.16
  5. Step 5: Solve for x
    x = 111,923.16/283.87
  6. Step 6: Final answer
    x = 394.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.