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Finding the Fourth Proportional to 423.45, 584.35 and 236.95

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Solution

The fourth proportional to 423.45, 584.35 and 236.95 is: 326.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.45 : 584.35 = 236.95 : x
  2. Step 2: Convert to fraction form
    423.45/584.35 = 236.95/x
  3. Step 3: Cross multiply
    423.45x = 584.35 × 236.95
  4. Step 4: Simplify right side
    423.45x = 138,457.63
  5. Step 5: Solve for x
    x = 138,457.63/423.45
  6. Step 6: Final answer
    x = 326.98

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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.