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Finding the Fourth Proportional to 744.32, 1,116.16 and 288

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Solution

The fourth proportional to 744.32, 1,116.16 and 288 is: 431.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.32 : 1,116.16 = 288 : x
  2. Step 2: Convert to fraction form
    744.32/1,116.16 = 288/x
  3. Step 3: Cross multiply
    744.32x = 1,116.16 × 288
  4. Step 4: Simplify right side
    744.32x = 321,454.08
  5. Step 5: Solve for x
    x = 321,454.08/744.32
  6. Step 6: Final answer
    x = 431.88

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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.