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Finding the Fourth Proportional to 423.42, 584.30 and 236.90

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Solution

The fourth proportional to 423.42, 584.30 and 236.90 is: 326.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.42 : 584.30 = 236.90 : x
  2. Step 2: Convert to fraction form
    423.42/584.30 = 236.90/x
  3. Step 3: Cross multiply
    423.42x = 584.30 × 236.90
  4. Step 4: Simplify right side
    423.42x = 138,420.67
  5. Step 5: Solve for x
    x = 138,420.67/423.42
  6. Step 6: Final answer
    x = 326.91

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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.