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Finding the Fourth Proportional to 695.24, 958.65 and 520.28

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Solution

The fourth proportional to 695.24, 958.65 and 520.28 is: 717.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.24 : 958.65 = 520.28 : x
  2. Step 2: Convert to fraction form
    695.24/958.65 = 520.28/x
  3. Step 3: Cross multiply
    695.24x = 958.65 × 520.28
  4. Step 4: Simplify right side
    695.24x = 498,766.87
  5. Step 5: Solve for x
    x = 498,766.87/695.24
  6. Step 6: Final answer
    x = 717.40

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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.