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Finding the Fourth Proportional to 653.24, 980.08 and 287.97

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Solution

The fourth proportional to 653.24, 980.08 and 287.97 is: 432.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.24 : 980.08 = 287.97 : x
  2. Step 2: Convert to fraction form
    653.24/980.08 = 287.97/x
  3. Step 3: Cross multiply
    653.24x = 980.08 × 287.97
  4. Step 4: Simplify right side
    653.24x = 282,232.92
  5. Step 5: Solve for x
    x = 282,232.92/653.24
  6. Step 6: Final answer
    x = 432.05

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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.