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Finding the Fourth Proportional to 357.62, 495.32 and 334.13

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Solution

The fourth proportional to 357.62, 495.32 and 334.13 is: 462.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.62 : 495.32 = 334.13 : x
  2. Step 2: Convert to fraction form
    357.62/495.32 = 334.13/x
  3. Step 3: Cross multiply
    357.62x = 495.32 × 334.13
  4. Step 4: Simplify right side
    357.62x = 165,497.12
  5. Step 5: Solve for x
    x = 165,497.12/357.62
  6. Step 6: Final answer
    x = 462.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.