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Finding the Fourth Proportional to 314.68, 433.20 and 270.76

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Solution

The fourth proportional to 314.68, 433.20 and 270.76 is: 372.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.68 : 433.20 = 270.76 : x
  2. Step 2: Convert to fraction form
    314.68/433.20 = 270.76/x
  3. Step 3: Cross multiply
    314.68x = 433.20 × 270.76
  4. Step 4: Simplify right side
    314.68x = 117,293.23
  5. Step 5: Solve for x
    x = 117,293.23/314.68
  6. Step 6: Final answer
    x = 372.74

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