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Finding the Fourth Proportional to 558.06, 836.78 and 265.46

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Solution

The fourth proportional to 558.06, 836.78 and 265.46 is: 398.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.06 : 836.78 = 265.46 : x
  2. Step 2: Convert to fraction form
    558.06/836.78 = 265.46/x
  3. Step 3: Cross multiply
    558.06x = 836.78 × 265.46
  4. Step 4: Simplify right side
    558.06x = 222,131.62
  5. Step 5: Solve for x
    x = 222,131.62/558.06
  6. Step 6: Final answer
    x = 398.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.