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Finding the Fourth Proportional to 900.24, 1,350.08 and 323.04

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Solution

The fourth proportional to 900.24, 1,350.08 and 323.04 is: 484.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.24 : 1,350.08 = 323.04 : x
  2. Step 2: Convert to fraction form
    900.24/1,350.08 = 323.04/x
  3. Step 3: Cross multiply
    900.24x = 1,350.08 × 323.04
  4. Step 4: Simplify right side
    900.24x = 436,129.84
  5. Step 5: Solve for x
    x = 436,129.84/900.24
  6. Step 6: Final answer
    x = 484.46

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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.