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Finding the Fourth Proportional to 550.64, 826.10 and 287.20

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Solution

The fourth proportional to 550.64, 826.10 and 287.20 is: 430.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.64 : 826.10 = 287.20 : x
  2. Step 2: Convert to fraction form
    550.64/826.10 = 287.20/x
  3. Step 3: Cross multiply
    550.64x = 826.10 × 287.20
  4. Step 4: Simplify right side
    550.64x = 237,255.92
  5. Step 5: Solve for x
    x = 237,255.92/550.64
  6. Step 6: Final answer
    x = 430.87

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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.