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Finding the Fourth Proportional to 653.23, 979.98 and 220.38

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Solution

The fourth proportional to 653.23, 979.98 and 220.38 is: 330.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.23 : 979.98 = 220.38 : x
  2. Step 2: Convert to fraction form
    653.23/979.98 = 220.38/x
  3. Step 3: Cross multiply
    653.23x = 979.98 × 220.38
  4. Step 4: Simplify right side
    653.23x = 215,967.99
  5. Step 5: Solve for x
    x = 215,967.99/653.23
  6. Step 6: Final answer
    x = 330.62

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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.