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Finding the Fourth Proportional to 332.01, 459.41 and 288.27

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Solution

The fourth proportional to 332.01, 459.41 and 288.27 is: 398.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.01 : 459.41 = 288.27 : x
  2. Step 2: Convert to fraction form
    332.01/459.41 = 288.27/x
  3. Step 3: Cross multiply
    332.01x = 459.41 × 288.27
  4. Step 4: Simplify right side
    332.01x = 132,432.68
  5. Step 5: Solve for x
    x = 132,432.68/332.01
  6. Step 6: Final answer
    x = 398.88

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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.