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Finding the Fourth Proportional to 334.84, 462.02 and 251.77

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Solution

The fourth proportional to 334.84, 462.02 and 251.77 is: 347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.84 : 462.02 = 251.77 : x
  2. Step 2: Convert to fraction form
    334.84/462.02 = 251.77/x
  3. Step 3: Cross multiply
    334.84x = 462.02 × 251.77
  4. Step 4: Simplify right side
    334.84x = 116,321.52
  5. Step 5: Solve for x
    x = 116,321.52/334.84
  6. Step 6: Final answer
    x = 347.39

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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.