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Finding the Fourth Proportional to 335.44, 461.76 and 288.53

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Solution

The fourth proportional to 335.44, 461.76 and 288.53 is: 397.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.44 : 461.76 = 288.53 : x
  2. Step 2: Convert to fraction form
    335.44/461.76 = 288.53/x
  3. Step 3: Cross multiply
    335.44x = 461.76 × 288.53
  4. Step 4: Simplify right side
    335.44x = 133,231.61
  5. Step 5: Solve for x
    x = 133,231.61/335.44
  6. Step 6: Final answer
    x = 397.18

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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.