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Finding the Fourth Proportional to 583.22, 875.00 and 236.49

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Solution

The fourth proportional to 583.22, 875.00 and 236.49 is: 354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.22 : 875.00 = 236.49 : x
  2. Step 2: Convert to fraction form
    583.22/875.00 = 236.49/x
  3. Step 3: Cross multiply
    583.22x = 875.00 × 236.49
  4. Step 4: Simplify right side
    583.22x = 206,926.06
  5. Step 5: Solve for x
    x = 206,926.06/583.22
  6. Step 6: Final answer
    x = 354.80

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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.