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Finding the Fourth Proportional to 564.80, 779.21 and 343.67

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Solution

The fourth proportional to 564.80, 779.21 and 343.67 is: 474.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.80 : 779.21 = 343.67 : x
  2. Step 2: Convert to fraction form
    564.80/779.21 = 343.67/x
  3. Step 3: Cross multiply
    564.80x = 779.21 × 343.67
  4. Step 4: Simplify right side
    564.80x = 267,785.49
  5. Step 5: Solve for x
    x = 267,785.49/564.80
  6. Step 6: Final answer
    x = 474.13

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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.