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Finding the Fourth Proportional to 563.88, 778.34 and 331

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Solution

The fourth proportional to 563.88, 778.34 and 331 is: 456.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.88 : 778.34 = 331 : x
  2. Step 2: Convert to fraction form
    563.88/778.34 = 331/x
  3. Step 3: Cross multiply
    563.88x = 778.34 × 331
  4. Step 4: Simplify right side
    563.88x = 257,630.54
  5. Step 5: Solve for x
    x = 257,630.54/563.88
  6. Step 6: Final answer
    x = 456.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.