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Finding the Fourth Proportional to 653.76, 980.62 and 197.76

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Solution

The fourth proportional to 653.76, 980.62 and 197.76 is: 296.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.76 : 980.62 = 197.76 : x
  2. Step 2: Convert to fraction form
    653.76/980.62 = 197.76/x
  3. Step 3: Cross multiply
    653.76x = 980.62 × 197.76
  4. Step 4: Simplify right side
    653.76x = 193,927.41
  5. Step 5: Solve for x
    x = 193,927.41/653.76
  6. Step 6: Final answer
    x = 296.63

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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.