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Finding the Fourth Proportional to 314.13, 434.04 and 274.65

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Solution

The fourth proportional to 314.13, 434.04 and 274.65 is: 379.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.13 : 434.04 = 274.65 : x
  2. Step 2: Convert to fraction form
    314.13/434.04 = 274.65/x
  3. Step 3: Cross multiply
    314.13x = 434.04 × 274.65
  4. Step 4: Simplify right side
    314.13x = 119,209.09
  5. Step 5: Solve for x
    x = 119,209.09/314.13
  6. Step 6: Final answer
    x = 379.49

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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.