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Finding the Fourth Proportional to 563.67, 778.23 and 354.15

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Solution

The fourth proportional to 563.67, 778.23 and 354.15 is: 488.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.67 : 778.23 = 354.15 : x
  2. Step 2: Convert to fraction form
    563.67/778.23 = 354.15/x
  3. Step 3: Cross multiply
    563.67x = 778.23 × 354.15
  4. Step 4: Simplify right side
    563.67x = 275,610.15
  5. Step 5: Solve for x
    x = 275,610.15/563.67
  6. Step 6: Final answer
    x = 488.96

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Why These Related Problems?

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