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Finding the Fourth Proportional to 564.47, 779.04 and 343.46

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Solution

The fourth proportional to 564.47, 779.04 and 343.46 is: 474.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.47 : 779.04 = 343.46 : x
  2. Step 2: Convert to fraction form
    564.47/779.04 = 343.46/x
  3. Step 3: Cross multiply
    564.47x = 779.04 × 343.46
  4. Step 4: Simplify right side
    564.47x = 267,565.18
  5. Step 5: Solve for x
    x = 267,565.18/564.47
  6. Step 6: Final answer
    x = 474.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.