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Finding the Fourth Proportional to 488.12, 732.08 and 214.06

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Solution

The fourth proportional to 488.12, 732.08 and 214.06 is: 321.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.12 : 732.08 = 214.06 : x
  2. Step 2: Convert to fraction form
    488.12/732.08 = 214.06/x
  3. Step 3: Cross multiply
    488.12x = 732.08 × 214.06
  4. Step 4: Simplify right side
    488.12x = 156,709.04
  5. Step 5: Solve for x
    x = 156,709.04/488.12
  6. Step 6: Final answer
    x = 321.05

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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.