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Finding the Fourth Proportional to 488.72, 733.43 and 214.83

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Solution

The fourth proportional to 488.72, 733.43 and 214.83 is: 322.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.72 : 733.43 = 214.83 : x
  2. Step 2: Convert to fraction form
    488.72/733.43 = 214.83/x
  3. Step 3: Cross multiply
    488.72x = 733.43 × 214.83
  4. Step 4: Simplify right side
    488.72x = 157,561.69
  5. Step 5: Solve for x
    x = 157,561.69/488.72
  6. Step 6: Final answer
    x = 322.40

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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.