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Finding the Fourth Proportional to 487.11, 730.67 and 198.35

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Solution

The fourth proportional to 487.11, 730.67 and 198.35 is: 297.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.11 : 730.67 = 198.35 : x
  2. Step 2: Convert to fraction form
    487.11/730.67 = 198.35/x
  3. Step 3: Cross multiply
    487.11x = 730.67 × 198.35
  4. Step 4: Simplify right side
    487.11x = 144,928.39
  5. Step 5: Solve for x
    x = 144,928.39/487.11
  6. Step 6: Final answer
    x = 297.53

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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.