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Finding the Fourth Proportional to 564.70, 779.07 and 343.57

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Solution

The fourth proportional to 564.70, 779.07 and 343.57 is: 473.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.70 : 779.07 = 343.57 : x
  2. Step 2: Convert to fraction form
    564.70/779.07 = 343.57/x
  3. Step 3: Cross multiply
    564.70x = 779.07 × 343.57
  4. Step 4: Simplify right side
    564.70x = 267,661.76
  5. Step 5: Solve for x
    x = 267,661.76/564.70
  6. Step 6: Final answer
    x = 473.99

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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.