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Finding the Fourth Proportional to 695.36, 959.59 and 446.77

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Solution

The fourth proportional to 695.36, 959.59 and 446.77 is: 616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.36 : 959.59 = 446.77 : x
  2. Step 2: Convert to fraction form
    695.36/959.59 = 446.77/x
  3. Step 3: Cross multiply
    695.36x = 959.59 × 446.77
  4. Step 4: Simplify right side
    695.36x = 428,714.91
  5. Step 5: Solve for x
    x = 428,714.91/695.36
  6. Step 6: Final answer
    x = 616.54

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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.