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Finding the Fourth Proportional to 653.43, 980.54 and 242.87

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Solution

The fourth proportional to 653.43, 980.54 and 242.87 is: 364.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.43 : 980.54 = 242.87 : x
  2. Step 2: Convert to fraction form
    653.43/980.54 = 242.87/x
  3. Step 3: Cross multiply
    653.43x = 980.54 × 242.87
  4. Step 4: Simplify right side
    653.43x = 238,138.54
  5. Step 5: Solve for x
    x = 238,138.54/653.43
  6. Step 6: Final answer
    x = 364.44

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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.