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Finding the Fourth Proportional to 696.39, 1,043.77 and 233.74

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Solution

The fourth proportional to 696.39, 1,043.77 and 233.74 is: 350.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.39 : 1,043.77 = 233.74 : x
  2. Step 2: Convert to fraction form
    696.39/1,043.77 = 233.74/x
  3. Step 3: Cross multiply
    696.39x = 1,043.77 × 233.74
  4. Step 4: Simplify right side
    696.39x = 243,970.80
  5. Step 5: Solve for x
    x = 243,970.80/696.39
  6. Step 6: Final answer
    x = 350.34

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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.