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Finding the Fourth Proportional to 609.72, 915.33 and 301.88

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Solution

The fourth proportional to 609.72, 915.33 and 301.88 is: 453.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.72 : 915.33 = 301.88 : x
  2. Step 2: Convert to fraction form
    609.72/915.33 = 301.88/x
  3. Step 3: Cross multiply
    609.72x = 915.33 × 301.88
  4. Step 4: Simplify right side
    609.72x = 276,315.24
  5. Step 5: Solve for x
    x = 276,315.24/609.72
  6. Step 6: Final answer
    x = 453.18

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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.