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Finding the Fourth Proportional to 338.04, 463.64 and 333.18

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Solution

The fourth proportional to 338.04, 463.64 and 333.18 is: 456.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.04 : 463.64 = 333.18 : x
  2. Step 2: Convert to fraction form
    338.04/463.64 = 333.18/x
  3. Step 3: Cross multiply
    338.04x = 463.64 × 333.18
  4. Step 4: Simplify right side
    338.04x = 154,473.91
  5. Step 5: Solve for x
    x = 154,473.91/338.04
  6. Step 6: Final answer
    x = 456.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.