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Finding the Fourth Proportional to 564.98, 779.85 and 343.94

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Solution

The fourth proportional to 564.98, 779.85 and 343.94 is: 474.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.98 : 779.85 = 343.94 : x
  2. Step 2: Convert to fraction form
    564.98/779.85 = 343.94/x
  3. Step 3: Cross multiply
    564.98x = 779.85 × 343.94
  4. Step 4: Simplify right side
    564.98x = 268,217.71
  5. Step 5: Solve for x
    x = 268,217.71/564.98
  6. Step 6: Final answer
    x = 474.74

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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.