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Finding the Fourth Proportional to 337.19, 464.64 and 243.77

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Solution

The fourth proportional to 337.19, 464.64 and 243.77 is: 335.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.19 : 464.64 = 243.77 : x
  2. Step 2: Convert to fraction form
    337.19/464.64 = 243.77/x
  3. Step 3: Cross multiply
    337.19x = 464.64 × 243.77
  4. Step 4: Simplify right side
    337.19x = 113,265.29
  5. Step 5: Solve for x
    x = 113,265.29/337.19
  6. Step 6: Final answer
    x = 335.91

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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.