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Finding the Fourth Proportional to 584.13, 874.98 and 544.17

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Solution

The fourth proportional to 584.13, 874.98 and 544.17 is: 815.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.13 : 874.98 = 544.17 : x
  2. Step 2: Convert to fraction form
    584.13/874.98 = 544.17/x
  3. Step 3: Cross multiply
    584.13x = 874.98 × 544.17
  4. Step 4: Simplify right side
    584.13x = 476,137.87
  5. Step 5: Solve for x
    x = 476,137.87/584.13
  6. Step 6: Final answer
    x = 815.12

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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.