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Finding the Fourth Proportional to 655.94, 983.85 and 223.07

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Solution

The fourth proportional to 655.94, 983.85 and 223.07 is: 334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.94 : 983.85 = 223.07 : x
  2. Step 2: Convert to fraction form
    655.94/983.85 = 223.07/x
  3. Step 3: Cross multiply
    655.94x = 983.85 × 223.07
  4. Step 4: Simplify right side
    655.94x = 219,467.42
  5. Step 5: Solve for x
    x = 219,467.42/655.94
  6. Step 6: Final answer
    x = 334.58

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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.