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Finding the Fourth Proportional to 653.78, 980.70 and 269

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Solution

The fourth proportional to 653.78, 980.70 and 269 is: 403.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.78 : 980.70 = 269 : x
  2. Step 2: Convert to fraction form
    653.78/980.70 = 269/x
  3. Step 3: Cross multiply
    653.78x = 980.70 × 269
  4. Step 4: Simplify right side
    653.78x = 263,808.30
  5. Step 5: Solve for x
    x = 263,808.30/653.78
  6. Step 6: Final answer
    x = 403.51

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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.