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Finding the Fourth Proportional to 696.70, 961.45 and 381.95

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Solution

The fourth proportional to 696.70, 961.45 and 381.95 is: 527.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.70 : 961.45 = 381.95 : x
  2. Step 2: Convert to fraction form
    696.70/961.45 = 381.95/x
  3. Step 3: Cross multiply
    696.70x = 961.45 × 381.95
  4. Step 4: Simplify right side
    696.70x = 367,225.83
  5. Step 5: Solve for x
    x = 367,225.83/696.70
  6. Step 6: Final answer
    x = 527.10

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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.