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Finding the Fourth Proportional to 335.16, 461.42 and 291.47

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Solution

The fourth proportional to 335.16, 461.42 and 291.47 is: 401.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.16 : 461.42 = 291.47 : x
  2. Step 2: Convert to fraction form
    335.16/461.42 = 291.47/x
  3. Step 3: Cross multiply
    335.16x = 461.42 × 291.47
  4. Step 4: Simplify right side
    335.16x = 134,489.78
  5. Step 5: Solve for x
    x = 134,489.78/335.16
  6. Step 6: Final answer
    x = 401.27

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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.