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Finding the Fourth Proportional to 334.94, 461.07 and 288.03

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Solution

The fourth proportional to 334.94, 461.07 and 288.03 is: 396.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.94 : 461.07 = 288.03 : x
  2. Step 2: Convert to fraction form
    334.94/461.07 = 288.03/x
  3. Step 3: Cross multiply
    334.94x = 461.07 × 288.03
  4. Step 4: Simplify right side
    334.94x = 132,804.80
  5. Step 5: Solve for x
    x = 132,804.80/334.94
  6. Step 6: Final answer
    x = 396.51

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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.