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Finding the Fourth Proportional to 696.50, 961.14 and 416.57

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Solution

The fourth proportional to 696.50, 961.14 and 416.57 is: 574.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.50 : 961.14 = 416.57 : x
  2. Step 2: Convert to fraction form
    696.50/961.14 = 416.57/x
  3. Step 3: Cross multiply
    696.50x = 961.14 × 416.57
  4. Step 4: Simplify right side
    696.50x = 400,384.85
  5. Step 5: Solve for x
    x = 400,384.85/696.50
  6. Step 6: Final answer
    x = 574.85

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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.