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Finding the Fourth Proportional to 696.79, 961.59 and 382.06

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Solution

The fourth proportional to 696.79, 961.59 and 382.06 is: 527.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.79 : 961.59 = 382.06 : x
  2. Step 2: Convert to fraction form
    696.79/961.59 = 382.06/x
  3. Step 3: Cross multiply
    696.79x = 961.59 × 382.06
  4. Step 4: Simplify right side
    696.79x = 367,385.08
  5. Step 5: Solve for x
    x = 367,385.08/696.79
  6. Step 6: Final answer
    x = 527.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.