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Finding the Fourth Proportional to 696.10, 959.68 and 474.68

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Solution

The fourth proportional to 696.10, 959.68 and 474.68 is: 654.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.10 : 959.68 = 474.68 : x
  2. Step 2: Convert to fraction form
    696.10/959.68 = 474.68/x
  3. Step 3: Cross multiply
    696.10x = 959.68 × 474.68
  4. Step 4: Simplify right side
    696.10x = 455,540.90
  5. Step 5: Solve for x
    x = 455,540.90/696.10
  6. Step 6: Final answer
    x = 654.42

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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.