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Finding the Fourth Proportional to 423.13, 583.85 and 236.59

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Solution

The fourth proportional to 423.13, 583.85 and 236.59 is: 326.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.13 : 583.85 = 236.59 : x
  2. Step 2: Convert to fraction form
    423.13/583.85 = 236.59/x
  3. Step 3: Cross multiply
    423.13x = 583.85 × 236.59
  4. Step 4: Simplify right side
    423.13x = 138,135.49
  5. Step 5: Solve for x
    x = 138,135.49/423.13
  6. Step 6: Final answer
    x = 326.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.