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Finding the Fourth Proportional to 563.98, 778.58 and 354.48

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Solution

The fourth proportional to 563.98, 778.58 and 354.48 is: 489.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.98 : 778.58 = 354.48 : x
  2. Step 2: Convert to fraction form
    563.98/778.58 = 354.48/x
  3. Step 3: Cross multiply
    563.98x = 778.58 × 354.48
  4. Step 4: Simplify right side
    563.98x = 275,987.68
  5. Step 5: Solve for x
    x = 275,987.68/563.98
  6. Step 6: Final answer
    x = 489.36

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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.