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Finding the Fourth Proportional to 695.48, 959.33 and 429.85

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Solution

The fourth proportional to 695.48, 959.33 and 429.85 is: 592.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.48 : 959.33 = 429.85 : x
  2. Step 2: Convert to fraction form
    695.48/959.33 = 429.85/x
  3. Step 3: Cross multiply
    695.48x = 959.33 × 429.85
  4. Step 4: Simplify right side
    695.48x = 412,365.85
  5. Step 5: Solve for x
    x = 412,365.85/695.48
  6. Step 6: Final answer
    x = 592.92

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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.