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Finding the Fourth Proportional to 695.61, 959.62 and 429.83

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Solution

The fourth proportional to 695.61, 959.62 and 429.83 is: 592.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.61 : 959.62 = 429.83 : x
  2. Step 2: Convert to fraction form
    695.61/959.62 = 429.83/x
  3. Step 3: Cross multiply
    695.61x = 959.62 × 429.83
  4. Step 4: Simplify right side
    695.61x = 412,473.46
  5. Step 5: Solve for x
    x = 412,473.46/695.61
  6. Step 6: Final answer
    x = 592.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.