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Finding the Fourth Proportional to 337.14, 464.84 and 263.34

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Solution

The fourth proportional to 337.14, 464.84 and 263.34 is: 363.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.14 : 464.84 = 263.34 : x
  2. Step 2: Convert to fraction form
    337.14/464.84 = 263.34/x
  3. Step 3: Cross multiply
    337.14x = 464.84 × 263.34
  4. Step 4: Simplify right side
    337.14x = 122,409.65
  5. Step 5: Solve for x
    x = 122,409.65/337.14
  6. Step 6: Final answer
    x = 363.08

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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.