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Finding the Fourth Proportional to 564.82, 779.57 and 343.84

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Solution

The fourth proportional to 564.82, 779.57 and 343.84 is: 474.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.82 : 779.57 = 343.84 : x
  2. Step 2: Convert to fraction form
    564.82/779.57 = 343.84/x
  3. Step 3: Cross multiply
    564.82x = 779.57 × 343.84
  4. Step 4: Simplify right side
    564.82x = 268,047.35
  5. Step 5: Solve for x
    x = 268,047.35/564.82
  6. Step 6: Final answer
    x = 474.57

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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.