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Finding the Fourth Proportional to 655.68, 983.52 and 223.12

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Solution

The fourth proportional to 655.68, 983.52 and 223.12 is: 334.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.68 : 983.52 = 223.12 : x
  2. Step 2: Convert to fraction form
    655.68/983.52 = 223.12/x
  3. Step 3: Cross multiply
    655.68x = 983.52 × 223.12
  4. Step 4: Simplify right side
    655.68x = 219,442.98
  5. Step 5: Solve for x
    x = 219,442.98/655.68
  6. Step 6: Final answer
    x = 334.68

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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.