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Finding the Fourth Proportional to 584.63, 877.08 and 199.88

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Solution

The fourth proportional to 584.63, 877.08 and 199.88 is: 299.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.63 : 877.08 = 199.88 : x
  2. Step 2: Convert to fraction form
    584.63/877.08 = 199.88/x
  3. Step 3: Cross multiply
    584.63x = 877.08 × 199.88
  4. Step 4: Simplify right side
    584.63x = 175,306.37
  5. Step 5: Solve for x
    x = 175,306.37/584.63
  6. Step 6: Final answer
    x = 299.86

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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.