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Finding the Fourth Proportional to 900.96, 1,351.52 and 438.96

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Solution

The fourth proportional to 900.96, 1,351.52 and 438.96 is: 658.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.96 : 1,351.52 = 438.96 : x
  2. Step 2: Convert to fraction form
    900.96/1,351.52 = 438.96/x
  3. Step 3: Cross multiply
    900.96x = 1,351.52 × 438.96
  4. Step 4: Simplify right side
    900.96x = 593,263.22
  5. Step 5: Solve for x
    x = 593,263.22/900.96
  6. Step 6: Final answer
    x = 658.48

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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.