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Finding the Fourth Proportional to 695.80, 1,043.74 and 233.64

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Solution

The fourth proportional to 695.80, 1,043.74 and 233.64 is: 350.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.80 : 1,043.74 = 233.64 : x
  2. Step 2: Convert to fraction form
    695.80/1,043.74 = 233.64/x
  3. Step 3: Cross multiply
    695.80x = 1,043.74 × 233.64
  4. Step 4: Simplify right side
    695.80x = 243,859.41
  5. Step 5: Solve for x
    x = 243,859.41/695.80
  6. Step 6: Final answer
    x = 350.47

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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.