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Finding the Fourth Proportional to 563.78, 777.98 and 353.85

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Solution

The fourth proportional to 563.78, 777.98 and 353.85 is: 488.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.78 : 777.98 = 353.85 : x
  2. Step 2: Convert to fraction form
    563.78/777.98 = 353.85/x
  3. Step 3: Cross multiply
    563.78x = 777.98 × 353.85
  4. Step 4: Simplify right side
    563.78x = 275,286.45
  5. Step 5: Solve for x
    x = 275,286.45/563.78
  6. Step 6: Final answer
    x = 488.29

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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.