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Finding the Fourth Proportional to 314.76, 433.98 and 227.40

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Solution

The fourth proportional to 314.76, 433.98 and 227.40 is: 313.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.76 : 433.98 = 227.40 : x
  2. Step 2: Convert to fraction form
    314.76/433.98 = 227.40/x
  3. Step 3: Cross multiply
    314.76x = 433.98 × 227.40
  4. Step 4: Simplify right side
    314.76x = 98,687.05
  5. Step 5: Solve for x
    x = 98,687.05/314.76
  6. Step 6: Final answer
    x = 313.53

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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.