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Finding the Fourth Proportional to 653.75, 980.67 and 324.86

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Solution

The fourth proportional to 653.75, 980.67 and 324.86 is: 487.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.75 : 980.67 = 324.86 : x
  2. Step 2: Convert to fraction form
    653.75/980.67 = 324.86/x
  3. Step 3: Cross multiply
    653.75x = 980.67 × 324.86
  4. Step 4: Simplify right side
    653.75x = 318,580.46
  5. Step 5: Solve for x
    x = 318,580.46/653.75
  6. Step 6: Final answer
    x = 487.31

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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.