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Finding the Fourth Proportional to 563.84, 778.09 and 342.74

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Solution

The fourth proportional to 563.84, 778.09 and 342.74 is: 472.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.84 : 778.09 = 342.74 : x
  2. Step 2: Convert to fraction form
    563.84/778.09 = 342.74/x
  3. Step 3: Cross multiply
    563.84x = 778.09 × 342.74
  4. Step 4: Simplify right side
    563.84x = 266,686.84
  5. Step 5: Solve for x
    x = 266,686.84/563.84
  6. Step 6: Final answer
    x = 472.99

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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.