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Finding the Fourth Proportional to 614.82, 922.44 and 285.91

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Solution

The fourth proportional to 614.82, 922.44 and 285.91 is: 428.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.82 : 922.44 = 285.91 : x
  2. Step 2: Convert to fraction form
    614.82/922.44 = 285.91/x
  3. Step 3: Cross multiply
    614.82x = 922.44 × 285.91
  4. Step 4: Simplify right side
    614.82x = 263,734.82
  5. Step 5: Solve for x
    x = 263,734.82/614.82
  6. Step 6: Final answer
    x = 428.96

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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.