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Finding the Fourth Proportional to 583.99, 876.02 and 193.82

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Solution

The fourth proportional to 583.99, 876.02 and 193.82 is: 290.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.99 : 876.02 = 193.82 : x
  2. Step 2: Convert to fraction form
    583.99/876.02 = 193.82/x
  3. Step 3: Cross multiply
    583.99x = 876.02 × 193.82
  4. Step 4: Simplify right side
    583.99x = 169,784.85
  5. Step 5: Solve for x
    x = 169,784.85/583.99
  6. Step 6: Final answer
    x = 290.73

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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.