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Finding the Fourth Proportional to 487.32, 730.82 and 194.70

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Solution

The fourth proportional to 487.32, 730.82 and 194.70 is: 291.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.32 : 730.82 = 194.70 : x
  2. Step 2: Convert to fraction form
    487.32/730.82 = 194.70/x
  3. Step 3: Cross multiply
    487.32x = 730.82 × 194.70
  4. Step 4: Simplify right side
    487.32x = 142,289.68
  5. Step 5: Solve for x
    x = 142,289.68/487.32
  6. Step 6: Final answer
    x = 291.98

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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.