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Finding the Fourth Proportional to 563.76, 778.10 and 342.68

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Solution

The fourth proportional to 563.76, 778.10 and 342.68 is: 472.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.76 : 778.10 = 342.68 : x
  2. Step 2: Convert to fraction form
    563.76/778.10 = 342.68/x
  3. Step 3: Cross multiply
    563.76x = 778.10 × 342.68
  4. Step 4: Simplify right side
    563.76x = 266,633.70
  5. Step 5: Solve for x
    x = 266,633.70/563.76
  6. Step 6: Final answer
    x = 472.96

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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.