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Finding the Fourth Proportional to 695.86, 959.91 and 430.45

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Solution

The fourth proportional to 695.86, 959.91 and 430.45 is: 593.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.86 : 959.91 = 430.45 : x
  2. Step 2: Convert to fraction form
    695.86/959.91 = 430.45/x
  3. Step 3: Cross multiply
    695.86x = 959.91 × 430.45
  4. Step 4: Simplify right side
    695.86x = 413,188.46
  5. Step 5: Solve for x
    x = 413,188.46/695.86
  6. Step 6: Final answer
    x = 593.79

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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.