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Finding the Fourth Proportional to 584.88, 877.31 and 200.13

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Solution

The fourth proportional to 584.88, 877.31 and 200.13 is: 300.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.88 : 877.31 = 200.13 : x
  2. Step 2: Convert to fraction form
    584.88/877.31 = 200.13/x
  3. Step 3: Cross multiply
    584.88x = 877.31 × 200.13
  4. Step 4: Simplify right side
    584.88x = 175,576.05
  5. Step 5: Solve for x
    x = 175,576.05/584.88
  6. Step 6: Final answer
    x = 300.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.