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Finding the Fourth Proportional to 583.18, 874.89 and 193.21

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Solution

The fourth proportional to 583.18, 874.89 and 193.21 is: 289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.18 : 874.89 = 193.21 : x
  2. Step 2: Convert to fraction form
    583.18/874.89 = 193.21/x
  3. Step 3: Cross multiply
    583.18x = 874.89 × 193.21
  4. Step 4: Simplify right side
    583.18x = 169,035.31
  5. Step 5: Solve for x
    x = 169,035.31/583.18
  6. Step 6: Final answer
    x = 289.85

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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.