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Finding the Fourth Proportional to 695.42, 958.46 and 508.65

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Solution

The fourth proportional to 695.42, 958.46 and 508.65 is: 701.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.42 : 958.46 = 508.65 : x
  2. Step 2: Convert to fraction form
    695.42/958.46 = 508.65/x
  3. Step 3: Cross multiply
    695.42x = 958.46 × 508.65
  4. Step 4: Simplify right side
    695.42x = 487,520.68
  5. Step 5: Solve for x
    x = 487,520.68/695.42
  6. Step 6: Final answer
    x = 701.04

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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.