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Finding the Fourth Proportional to 695.17, 959.31 and 415.34

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Solution

The fourth proportional to 695.17, 959.31 and 415.34 is: 573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.17 : 959.31 = 415.34 : x
  2. Step 2: Convert to fraction form
    695.17/959.31 = 415.34/x
  3. Step 3: Cross multiply
    695.17x = 959.31 × 415.34
  4. Step 4: Simplify right side
    695.17x = 398,439.82
  5. Step 5: Solve for x
    x = 398,439.82/695.17
  6. Step 6: Final answer
    x = 573.15

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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.