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Finding the Fourth Proportional to 583.41, 874.89 and 236.65

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Solution

The fourth proportional to 583.41, 874.89 and 236.65 is: 354.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.41 : 874.89 = 236.65 : x
  2. Step 2: Convert to fraction form
    583.41/874.89 = 236.65/x
  3. Step 3: Cross multiply
    583.41x = 874.89 × 236.65
  4. Step 4: Simplify right side
    583.41x = 207,042.72
  5. Step 5: Solve for x
    x = 207,042.72/583.41
  6. Step 6: Final answer
    x = 354.88

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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.