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Finding the Fourth Proportional to 488.53, 732.96 and 214.48

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Solution

The fourth proportional to 488.53, 732.96 and 214.48 is: 321.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.53 : 732.96 = 214.48 : x
  2. Step 2: Convert to fraction form
    488.53/732.96 = 214.48/x
  3. Step 3: Cross multiply
    488.53x = 732.96 × 214.48
  4. Step 4: Simplify right side
    488.53x = 157,205.26
  5. Step 5: Solve for x
    x = 157,205.26/488.53
  6. Step 6: Final answer
    x = 321.79

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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.