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Finding the Fourth Proportional to 655.23, 983.14 and 285.15

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Solution

The fourth proportional to 655.23, 983.14 and 285.15 is: 427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.23 : 983.14 = 285.15 : x
  2. Step 2: Convert to fraction form
    655.23/983.14 = 285.15/x
  3. Step 3: Cross multiply
    655.23x = 983.14 × 285.15
  4. Step 4: Simplify right side
    655.23x = 280,336.03
  5. Step 5: Solve for x
    x = 280,336.03/655.23
  6. Step 6: Final answer
    x = 427.85

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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.