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Finding the Fourth Proportional to 609.76, 915.04 and 393.44

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Solution

The fourth proportional to 609.76, 915.04 and 393.44 is: 590.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.76 : 915.04 = 393.44 : x
  2. Step 2: Convert to fraction form
    609.76/915.04 = 393.44/x
  3. Step 3: Cross multiply
    609.76x = 915.04 × 393.44
  4. Step 4: Simplify right side
    609.76x = 360,013.34
  5. Step 5: Solve for x
    x = 360,013.34/609.76
  6. Step 6: Final answer
    x = 590.42

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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.