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Finding the Fourth Proportional to 696.97, 1,045.68 and 234.79

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Solution

The fourth proportional to 696.97, 1,045.68 and 234.79 is: 352.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.97 : 1,045.68 = 234.79 : x
  2. Step 2: Convert to fraction form
    696.97/1,045.68 = 234.79/x
  3. Step 3: Cross multiply
    696.97x = 1,045.68 × 234.79
  4. Step 4: Simplify right side
    696.97x = 245,515.21
  5. Step 5: Solve for x
    x = 245,515.21/696.97
  6. Step 6: Final answer
    x = 352.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.