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Finding the Fourth Proportional to 671.28, 1,007.04 and 286.80

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Solution

The fourth proportional to 671.28, 1,007.04 and 286.80 is: 430.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.28 : 1,007.04 = 286.80 : x
  2. Step 2: Convert to fraction form
    671.28/1,007.04 = 286.80/x
  3. Step 3: Cross multiply
    671.28x = 1,007.04 × 286.80
  4. Step 4: Simplify right side
    671.28x = 288,819.07
  5. Step 5: Solve for x
    x = 288,819.07/671.28
  6. Step 6: Final answer
    x = 430.25

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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.