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Finding the Fourth Proportional to 337.56, 465.81 and 258.73

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Solution

The fourth proportional to 337.56, 465.81 and 258.73 is: 357.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.56 : 465.81 = 258.73 : x
  2. Step 2: Convert to fraction form
    337.56/465.81 = 258.73/x
  3. Step 3: Cross multiply
    337.56x = 465.81 × 258.73
  4. Step 4: Simplify right side
    337.56x = 120,519.02
  5. Step 5: Solve for x
    x = 120,519.02/337.56
  6. Step 6: Final answer
    x = 357.03

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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.