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Finding the Fourth Proportional to 564.66, 779.14 and 343.69

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Solution

The fourth proportional to 564.66, 779.14 and 343.69 is: 474.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.66 : 779.14 = 343.69 : x
  2. Step 2: Convert to fraction form
    564.66/779.14 = 343.69/x
  3. Step 3: Cross multiply
    564.66x = 779.14 × 343.69
  4. Step 4: Simplify right side
    564.66x = 267,779.82
  5. Step 5: Solve for x
    x = 267,779.82/564.66
  6. Step 6: Final answer
    x = 474.23

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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.