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Finding the Fourth Proportional to 564.84, 779.56 and 343.84

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Solution

The fourth proportional to 564.84, 779.56 and 343.84 is: 474.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.84 : 779.56 = 343.84 : x
  2. Step 2: Convert to fraction form
    564.84/779.56 = 343.84/x
  3. Step 3: Cross multiply
    564.84x = 779.56 × 343.84
  4. Step 4: Simplify right side
    564.84x = 268,043.91
  5. Step 5: Solve for x
    x = 268,043.91/564.84
  6. Step 6: Final answer
    x = 474.55

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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.