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Finding the Fourth Proportional to 609.75, 915.35 and 285.14

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Solution

The fourth proportional to 609.75, 915.35 and 285.14 is: 428.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.75 : 915.35 = 285.14 : x
  2. Step 2: Convert to fraction form
    609.75/915.35 = 285.14/x
  3. Step 3: Cross multiply
    609.75x = 915.35 × 285.14
  4. Step 4: Simplify right side
    609.75x = 261,003.76
  5. Step 5: Solve for x
    x = 261,003.76/609.75
  6. Step 6: Final answer
    x = 428.05

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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.