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Finding the Fourth Proportional to 610.30, 915.02 and 285.49

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Solution

The fourth proportional to 610.30, 915.02 and 285.49 is: 428.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.30 : 915.02 = 285.49 : x
  2. Step 2: Convert to fraction form
    610.30/915.02 = 285.49/x
  3. Step 3: Cross multiply
    610.30x = 915.02 × 285.49
  4. Step 4: Simplify right side
    610.30x = 261,229.31
  5. Step 5: Solve for x
    x = 261,229.31/610.30
  6. Step 6: Final answer
    x = 428.03

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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.