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Finding the Fourth Proportional to 694.71, 1,042.47 and 329.67

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Solution

The fourth proportional to 694.71, 1,042.47 and 329.67 is: 494.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.71 : 1,042.47 = 329.67 : x
  2. Step 2: Convert to fraction form
    694.71/1,042.47 = 329.67/x
  3. Step 3: Cross multiply
    694.71x = 1,042.47 × 329.67
  4. Step 4: Simplify right side
    694.71x = 343,671.08
  5. Step 5: Solve for x
    x = 343,671.08/694.71
  6. Step 6: Final answer
    x = 494.70

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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.