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Finding the Fourth Proportional to 334.62, 461.76 and 216.54

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Solution

The fourth proportional to 334.62, 461.76 and 216.54 is: 298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.62 : 461.76 = 216.54 : x
  2. Step 2: Convert to fraction form
    334.62/461.76 = 216.54/x
  3. Step 3: Cross multiply
    334.62x = 461.76 × 216.54
  4. Step 4: Simplify right side
    334.62x = 99,989.51
  5. Step 5: Solve for x
    x = 99,989.51/334.62
  6. Step 6: Final answer
    x = 298.82

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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.