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Finding the Fourth Proportional to 694.55, 1,041.76 and 232.31

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Solution

The fourth proportional to 694.55, 1,041.76 and 232.31 is: 348.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.55 : 1,041.76 = 232.31 : x
  2. Step 2: Convert to fraction form
    694.55/1,041.76 = 232.31/x
  3. Step 3: Cross multiply
    694.55x = 1,041.76 × 232.31
  4. Step 4: Simplify right side
    694.55x = 242,011.27
  5. Step 5: Solve for x
    x = 242,011.27/694.55
  6. Step 6: Final answer
    x = 348.44

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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.