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Finding the Fourth Proportional to 653.36, 979.92 and 242.48

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Solution

The fourth proportional to 653.36, 979.92 and 242.48 is: 363.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.36 : 979.92 = 242.48 : x
  2. Step 2: Convert to fraction form
    653.36/979.92 = 242.48/x
  3. Step 3: Cross multiply
    653.36x = 979.92 × 242.48
  4. Step 4: Simplify right side
    653.36x = 237,611.00
  5. Step 5: Solve for x
    x = 237,611.00/653.36
  6. Step 6: Final answer
    x = 363.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.