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Finding the Fourth Proportional to 488.16, 732.24 and 214.08

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Solution

The fourth proportional to 488.16, 732.24 and 214.08 is: 321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.16 : 732.24 = 214.08 : x
  2. Step 2: Convert to fraction form
    488.16/732.24 = 214.08/x
  3. Step 3: Cross multiply
    488.16x = 732.24 × 214.08
  4. Step 4: Simplify right side
    488.16x = 156,757.94
  5. Step 5: Solve for x
    x = 156,757.94/488.16
  6. Step 6: Final answer
    x = 321.12

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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.