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Finding the Fourth Proportional to 696.52, 961.19 and 386.02

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Solution

The fourth proportional to 696.52, 961.19 and 386.02 is: 532.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.52 : 961.19 = 386.02 : x
  2. Step 2: Convert to fraction form
    696.52/961.19 = 386.02/x
  3. Step 3: Cross multiply
    696.52x = 961.19 × 386.02
  4. Step 4: Simplify right side
    696.52x = 371,034.96
  5. Step 5: Solve for x
    x = 371,034.96/696.52
  6. Step 6: Final answer
    x = 532.70

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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.