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Finding the Fourth Proportional to 563.85, 778.17 and 342.82

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Solution

The fourth proportional to 563.85, 778.17 and 342.82 is: 473.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.85 : 778.17 = 342.82 : x
  2. Step 2: Convert to fraction form
    563.85/778.17 = 342.82/x
  3. Step 3: Cross multiply
    563.85x = 778.17 × 342.82
  4. Step 4: Simplify right side
    563.85x = 266,772.24
  5. Step 5: Solve for x
    x = 266,772.24/563.85
  6. Step 6: Final answer
    x = 473.13

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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.