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Finding the Fourth Proportional to 610.44, 915.26 and 285.96

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Solution

The fourth proportional to 610.44, 915.26 and 285.96 is: 428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.44 : 915.26 = 285.96 : x
  2. Step 2: Convert to fraction form
    610.44/915.26 = 285.96/x
  3. Step 3: Cross multiply
    610.44x = 915.26 × 285.96
  4. Step 4: Simplify right side
    610.44x = 261,727.75
  5. Step 5: Solve for x
    x = 261,727.75/610.44
  6. Step 6: Final answer
    x = 428.75

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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.