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Finding the Fourth Proportional to 564.71, 779.09 and 343.58

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Solution

The fourth proportional to 564.71, 779.09 and 343.58 is: 474.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.71 : 779.09 = 343.58 : x
  2. Step 2: Convert to fraction form
    564.71/779.09 = 343.58/x
  3. Step 3: Cross multiply
    564.71x = 779.09 × 343.58
  4. Step 4: Simplify right side
    564.71x = 267,674.13
  5. Step 5: Solve for x
    x = 267,674.13/564.71
  6. Step 6: Final answer
    x = 474.01

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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.