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Finding the Fourth Proportional to 337.11, 464.94 and 258.45

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Solution

The fourth proportional to 337.11, 464.94 and 258.45 is: 356.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.11 : 464.94 = 258.45 : x
  2. Step 2: Convert to fraction form
    337.11/464.94 = 258.45/x
  3. Step 3: Cross multiply
    337.11x = 464.94 × 258.45
  4. Step 4: Simplify right side
    337.11x = 120,163.74
  5. Step 5: Solve for x
    x = 120,163.74/337.11
  6. Step 6: Final answer
    x = 356.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.