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Finding the Fourth Proportional to 695.64, 1,042.72 and 349.20

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Solution

The fourth proportional to 695.64, 1,042.72 and 349.20 is: 523.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.64 : 1,042.72 = 349.20 : x
  2. Step 2: Convert to fraction form
    695.64/1,042.72 = 349.20/x
  3. Step 3: Cross multiply
    695.64x = 1,042.72 × 349.20
  4. Step 4: Simplify right side
    695.64x = 364,117.82
  5. Step 5: Solve for x
    x = 364,117.82/695.64
  6. Step 6: Final answer
    x = 523.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.