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Finding the Fourth Proportional to 653.09, 979.73 and 268.25

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Solution

The fourth proportional to 653.09, 979.73 and 268.25 is: 402.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.09 : 979.73 = 268.25 : x
  2. Step 2: Convert to fraction form
    653.09/979.73 = 268.25/x
  3. Step 3: Cross multiply
    653.09x = 979.73 × 268.25
  4. Step 4: Simplify right side
    653.09x = 262,812.57
  5. Step 5: Solve for x
    x = 262,812.57/653.09
  6. Step 6: Final answer
    x = 402.41

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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.