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Finding the Fourth Proportional to 588.53, 882.81 and 198.46

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Solution

The fourth proportional to 588.53, 882.81 and 198.46 is: 297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.53 : 882.81 = 198.46 : x
  2. Step 2: Convert to fraction form
    588.53/882.81 = 198.46/x
  3. Step 3: Cross multiply
    588.53x = 882.81 × 198.46
  4. Step 4: Simplify right side
    588.53x = 175,203.58
  5. Step 5: Solve for x
    x = 175,203.58/588.53
  6. Step 6: Final answer
    x = 297.70

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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.