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Finding the Fourth Proportional to 488.87, 733.04 and 214.64

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Solution

The fourth proportional to 488.87, 733.04 and 214.64 is: 321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.87 : 733.04 = 214.64 : x
  2. Step 2: Convert to fraction form
    488.87/733.04 = 214.64/x
  3. Step 3: Cross multiply
    488.87x = 733.04 × 214.64
  4. Step 4: Simplify right side
    488.87x = 157,339.71
  5. Step 5: Solve for x
    x = 157,339.71/488.87
  6. Step 6: Final answer
    x = 321.84

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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.