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Finding the Fourth Proportional to 316.43, 435.13 and 274.91

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Solution

The fourth proportional to 316.43, 435.13 and 274.91 is: 378.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.43 : 435.13 = 274.91 : x
  2. Step 2: Convert to fraction form
    316.43/435.13 = 274.91/x
  3. Step 3: Cross multiply
    316.43x = 435.13 × 274.91
  4. Step 4: Simplify right side
    316.43x = 119,620.21
  5. Step 5: Solve for x
    x = 119,620.21/316.43
  6. Step 6: Final answer
    x = 378.03

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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.