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Finding the Fourth Proportional to 487.34, 730.97 and 198.77

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Solution

The fourth proportional to 487.34, 730.97 and 198.77 is: 298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.34 : 730.97 = 198.77 : x
  2. Step 2: Convert to fraction form
    487.34/730.97 = 198.77/x
  3. Step 3: Cross multiply
    487.34x = 730.97 × 198.77
  4. Step 4: Simplify right side
    487.34x = 145,291.75
  5. Step 5: Solve for x
    x = 145,291.75/487.34
  6. Step 6: Final answer
    x = 298.14

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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.