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Finding the Fourth Proportional to 488.62, 733.17 and 214.71

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Solution

The fourth proportional to 488.62, 733.17 and 214.71 is: 322.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.62 : 733.17 = 214.71 : x
  2. Step 2: Convert to fraction form
    488.62/733.17 = 214.71/x
  3. Step 3: Cross multiply
    488.62x = 733.17 × 214.71
  4. Step 4: Simplify right side
    488.62x = 157,418.93
  5. Step 5: Solve for x
    x = 157,418.93/488.62
  6. Step 6: Final answer
    x = 322.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.