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Finding the Fourth Proportional to 563.83, 778.21 and 342.73

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Solution

The fourth proportional to 563.83, 778.21 and 342.73 is: 473.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.83 : 778.21 = 342.73 : x
  2. Step 2: Convert to fraction form
    563.83/778.21 = 342.73/x
  3. Step 3: Cross multiply
    563.83x = 778.21 × 342.73
  4. Step 4: Simplify right side
    563.83x = 266,716.03
  5. Step 5: Solve for x
    x = 266,716.03/563.83
  6. Step 6: Final answer
    x = 473.05

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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.