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Finding the Fourth Proportional to 334.30, 461.36 and 278.94

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Solution

The fourth proportional to 334.30, 461.36 and 278.94 is: 384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.30 : 461.36 = 278.94 : x
  2. Step 2: Convert to fraction form
    334.30/461.36 = 278.94/x
  3. Step 3: Cross multiply
    334.30x = 461.36 × 278.94
  4. Step 4: Simplify right side
    334.30x = 128,691.76
  5. Step 5: Solve for x
    x = 128,691.76/334.30
  6. Step 6: Final answer
    x = 384.96

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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.