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Finding the Fourth Proportional to 334.30, 461.54 and 298.79

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Solution

The fourth proportional to 334.30, 461.54 and 298.79 is: 412.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.30 : 461.54 = 298.79 : x
  2. Step 2: Convert to fraction form
    334.30/461.54 = 298.79/x
  3. Step 3: Cross multiply
    334.30x = 461.54 × 298.79
  4. Step 4: Simplify right side
    334.30x = 137,903.83
  5. Step 5: Solve for x
    x = 137,903.83/334.30
  6. Step 6: Final answer
    x = 412.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.