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Finding the Fourth Proportional to 335.32, 461.45 and 265.14

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Solution

The fourth proportional to 335.32, 461.45 and 265.14 is: 364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.32 : 461.45 = 265.14 : x
  2. Step 2: Convert to fraction form
    335.32/461.45 = 265.14/x
  3. Step 3: Cross multiply
    335.32x = 461.45 × 265.14
  4. Step 4: Simplify right side
    335.32x = 122,349.52
  5. Step 5: Solve for x
    x = 122,349.52/335.32
  6. Step 6: Final answer
    x = 364.88

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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.