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Finding the Fourth Proportional to 584.90, 876.80 and 199.88

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Solution

The fourth proportional to 584.90, 876.80 and 199.88 is: 299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.90 : 876.80 = 199.88 : x
  2. Step 2: Convert to fraction form
    584.90/876.80 = 199.88/x
  3. Step 3: Cross multiply
    584.90x = 876.80 × 199.88
  4. Step 4: Simplify right side
    584.90x = 175,249.40
  5. Step 5: Solve for x
    x = 175,249.40/584.90
  6. Step 6: Final answer
    x = 299.63

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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.