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Finding the Fourth Proportional to 901.48, 1,352.58 and 438.97

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Solution

The fourth proportional to 901.48, 1,352.58 and 438.97 is: 658.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.48 : 1,352.58 = 438.97 : x
  2. Step 2: Convert to fraction form
    901.48/1,352.58 = 438.97/x
  3. Step 3: Cross multiply
    901.48x = 1,352.58 × 438.97
  4. Step 4: Simplify right side
    901.48x = 593,742.04
  5. Step 5: Solve for x
    x = 593,742.04/901.48
  6. Step 6: Final answer
    x = 658.63

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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.