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Finding the Fourth Proportional to 314.42, 471.96 and 223.29

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Solution

The fourth proportional to 314.42, 471.96 and 223.29 is: 335.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.42 : 471.96 = 223.29 : x
  2. Step 2: Convert to fraction form
    314.42/471.96 = 223.29/x
  3. Step 3: Cross multiply
    314.42x = 471.96 × 223.29
  4. Step 4: Simplify right side
    314.42x = 105,383.95
  5. Step 5: Solve for x
    x = 105,383.95/314.42
  6. Step 6: Final answer
    x = 335.17

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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.