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Finding the Fourth Proportional to 609.14, 840.70 and 347.30

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Solution

The fourth proportional to 609.14, 840.70 and 347.30 is: 479.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.14 : 840.70 = 347.30 : x
  2. Step 2: Convert to fraction form
    609.14/840.70 = 347.30/x
  3. Step 3: Cross multiply
    609.14x = 840.70 × 347.30
  4. Step 4: Simplify right side
    609.14x = 291,975.11
  5. Step 5: Solve for x
    x = 291,975.11/609.14
  6. Step 6: Final answer
    x = 479.32

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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.