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Finding the Fourth Proportional to 334.49, 459.61 and 272.16

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Solution

The fourth proportional to 334.49, 459.61 and 272.16 is: 373.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.49 : 459.61 = 272.16 : x
  2. Step 2: Convert to fraction form
    334.49/459.61 = 272.16/x
  3. Step 3: Cross multiply
    334.49x = 459.61 × 272.16
  4. Step 4: Simplify right side
    334.49x = 125,086.78
  5. Step 5: Solve for x
    x = 125,086.78/334.49
  6. Step 6: Final answer
    x = 373.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.