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Finding the Fourth Proportional to 609.24, 840.75 and 329.47

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Solution

The fourth proportional to 609.24, 840.75 and 329.47 is: 454.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.24 : 840.75 = 329.47 : x
  2. Step 2: Convert to fraction form
    609.24/840.75 = 329.47/x
  3. Step 3: Cross multiply
    609.24x = 840.75 × 329.47
  4. Step 4: Simplify right side
    609.24x = 277,001.72
  5. Step 5: Solve for x
    x = 277,001.72/609.24
  6. Step 6: Final answer
    x = 454.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.