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Finding the Fourth Proportional to 609.18, 840.50 and 347.14

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Solution

The fourth proportional to 609.18, 840.50 and 347.14 is: 478.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.18 : 840.50 = 347.14 : x
  2. Step 2: Convert to fraction form
    609.18/840.50 = 347.14/x
  3. Step 3: Cross multiply
    609.18x = 840.50 × 347.14
  4. Step 4: Simplify right side
    609.18x = 291,772.04
  5. Step 5: Solve for x
    x = 291,772.04/609.18
  6. Step 6: Final answer
    x = 478.96

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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.