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Finding the Fourth Proportional to 653.51, 980.67 and 268.76

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Solution

The fourth proportional to 653.51, 980.67 and 268.76 is: 403.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.51 : 980.67 = 268.76 : x
  2. Step 2: Convert to fraction form
    653.51/980.67 = 268.76/x
  3. Step 3: Cross multiply
    653.51x = 980.67 × 268.76
  4. Step 4: Simplify right side
    653.51x = 263,559.97
  5. Step 5: Solve for x
    x = 263,559.97/653.51
  6. Step 6: Final answer
    x = 403.30

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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.