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Finding the Fourth Proportional to 474.32, 711.48 and 281.36

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Solution

The fourth proportional to 474.32, 711.48 and 281.36 is: 422.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.32 : 711.48 = 281.36 : x
  2. Step 2: Convert to fraction form
    474.32/711.48 = 281.36/x
  3. Step 3: Cross multiply
    474.32x = 711.48 × 281.36
  4. Step 4: Simplify right side
    474.32x = 200,177.05
  5. Step 5: Solve for x
    x = 200,177.05/474.32
  6. Step 6: Final answer
    x = 422.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.