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Finding the Fourth Proportional to 564.68, 779.30 and 343.64

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Solution

The fourth proportional to 564.68, 779.30 and 343.64 is: 474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.68 : 779.30 = 343.64 : x
  2. Step 2: Convert to fraction form
    564.68/779.30 = 343.64/x
  3. Step 3: Cross multiply
    564.68x = 779.30 × 343.64
  4. Step 4: Simplify right side
    564.68x = 267,798.65
  5. Step 5: Solve for x
    x = 267,798.65/564.68
  6. Step 6: Final answer
    x = 474.25

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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.