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Finding the Fourth Proportional to 334.42, 460.49 and 296.54

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Solution

The fourth proportional to 334.42, 460.49 and 296.54 is: 408.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.42 : 460.49 = 296.54 : x
  2. Step 2: Convert to fraction form
    334.42/460.49 = 296.54/x
  3. Step 3: Cross multiply
    334.42x = 460.49 × 296.54
  4. Step 4: Simplify right side
    334.42x = 136,551.03
  5. Step 5: Solve for x
    x = 136,551.03/334.42
  6. Step 6: Final answer
    x = 408.32

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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.