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Finding the Fourth Proportional to 609.32, 840.86 and 347.48

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Solution

The fourth proportional to 609.32, 840.86 and 347.48 is: 479.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.32 : 840.86 = 347.48 : x
  2. Step 2: Convert to fraction form
    609.32/840.86 = 347.48/x
  3. Step 3: Cross multiply
    609.32x = 840.86 × 347.48
  4. Step 4: Simplify right side
    609.32x = 292,180.30
  5. Step 5: Solve for x
    x = 292,180.30/609.32
  6. Step 6: Final answer
    x = 479.52

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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.