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Finding the Fourth Proportional to 694.04, 1,041.41 and 323.69

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Solution

The fourth proportional to 694.04, 1,041.41 and 323.69 is: 485.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.04 : 1,041.41 = 323.69 : x
  2. Step 2: Convert to fraction form
    694.04/1,041.41 = 323.69/x
  3. Step 3: Cross multiply
    694.04x = 1,041.41 × 323.69
  4. Step 4: Simplify right side
    694.04x = 337,097.42
  5. Step 5: Solve for x
    x = 337,097.42/694.04
  6. Step 6: Final answer
    x = 485.70

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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.