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Finding the Fourth Proportional to 314.11, 433.20 and 282.70

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Solution

The fourth proportional to 314.11, 433.20 and 282.70 is: 389.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.11 : 433.20 = 282.70 : x
  2. Step 2: Convert to fraction form
    314.11/433.20 = 282.70/x
  3. Step 3: Cross multiply
    314.11x = 433.20 × 282.70
  4. Step 4: Simplify right side
    314.11x = 122,465.64
  5. Step 5: Solve for x
    x = 122,465.64/314.11
  6. Step 6: Final answer
    x = 389.88

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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.