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Finding the Fourth Proportional to 653.94, 981.02 and 221

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Solution

The fourth proportional to 653.94, 981.02 and 221 is: 331.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.94 : 981.02 = 221 : x
  2. Step 2: Convert to fraction form
    653.94/981.02 = 221/x
  3. Step 3: Cross multiply
    653.94x = 981.02 × 221
  4. Step 4: Simplify right side
    653.94x = 216,805.42
  5. Step 5: Solve for x
    x = 216,805.42/653.94
  6. Step 6: Final answer
    x = 331.54

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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.