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Finding the Fourth Proportional to 696.72, 961.47 and 382.02

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Solution

The fourth proportional to 696.72, 961.47 and 382.02 is: 527.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.72 : 961.47 = 382.02 : x
  2. Step 2: Convert to fraction form
    696.72/961.47 = 382.02/x
  3. Step 3: Cross multiply
    696.72x = 961.47 × 382.02
  4. Step 4: Simplify right side
    696.72x = 367,300.77
  5. Step 5: Solve for x
    x = 367,300.77/696.72
  6. Step 6: Final answer
    x = 527.19

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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.