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Finding the Fourth Proportional to 695.48, 959.63 and 446.76

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Solution

The fourth proportional to 695.48, 959.63 and 446.76 is: 616.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.48 : 959.63 = 446.76 : x
  2. Step 2: Convert to fraction form
    695.48/959.63 = 446.76/x
  3. Step 3: Cross multiply
    695.48x = 959.63 × 446.76
  4. Step 4: Simplify right side
    695.48x = 428,722.07
  5. Step 5: Solve for x
    x = 428,722.07/695.48
  6. Step 6: Final answer
    x = 616.44

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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.