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Finding the Fourth Proportional to 695.43, 959.40 and 446.67

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Solution

The fourth proportional to 695.43, 959.40 and 446.67 is: 616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.43 : 959.40 = 446.67 : x
  2. Step 2: Convert to fraction form
    695.43/959.40 = 446.67/x
  3. Step 3: Cross multiply
    695.43x = 959.40 × 446.67
  4. Step 4: Simplify right side
    695.43x = 428,535.20
  5. Step 5: Solve for x
    x = 428,535.20/695.43
  6. Step 6: Final answer
    x = 616.22

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Why These Related Problems?

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