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Finding the Fourth Proportional to 583.93, 875.67 and 193.85

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Solution

The fourth proportional to 583.93, 875.67 and 193.85 is: 290.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.93 : 875.67 = 193.85 : x
  2. Step 2: Convert to fraction form
    583.93/875.67 = 193.85/x
  3. Step 3: Cross multiply
    583.93x = 875.67 × 193.85
  4. Step 4: Simplify right side
    583.93x = 169,750.33
  5. Step 5: Solve for x
    x = 169,750.33/583.93
  6. Step 6: Final answer
    x = 290.71

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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.