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Finding the Fourth Proportional to 695.79, 959.78 and 430.34

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Solution

The fourth proportional to 695.79, 959.78 and 430.34 is: 593.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.79 : 959.78 = 430.34 : x
  2. Step 2: Convert to fraction form
    695.79/959.78 = 430.34/x
  3. Step 3: Cross multiply
    695.79x = 959.78 × 430.34
  4. Step 4: Simplify right side
    695.79x = 413,028.00
  5. Step 5: Solve for x
    x = 413,028.00/695.79
  6. Step 6: Final answer
    x = 593.61

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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.