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Finding the Fourth Proportional to 563.28, 842.80 and 471

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Solution

The fourth proportional to 563.28, 842.80 and 471 is: 704.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.28 : 842.80 = 471 : x
  2. Step 2: Convert to fraction form
    563.28/842.80 = 471/x
  3. Step 3: Cross multiply
    563.28x = 842.80 × 471
  4. Step 4: Simplify right side
    563.28x = 396,958.80
  5. Step 5: Solve for x
    x = 396,958.80/563.28
  6. Step 6: Final answer
    x = 704.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.