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Finding the Fourth Proportional to 563.84, 778.09 and 342.83

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Solution

The fourth proportional to 563.84, 778.09 and 342.83 is: 473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.84 : 778.09 = 342.83 : x
  2. Step 2: Convert to fraction form
    563.84/778.09 = 342.83/x
  3. Step 3: Cross multiply
    563.84x = 778.09 × 342.83
  4. Step 4: Simplify right side
    563.84x = 266,753.31
  5. Step 5: Solve for x
    x = 266,753.31/563.84
  6. Step 6: Final answer
    x = 473.10

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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.