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Finding the Fourth Proportional to 609.14, 840.61 and 347.17

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Solution

The fourth proportional to 609.14, 840.61 and 347.17 is: 479.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.14 : 840.61 = 347.17 : x
  2. Step 2: Convert to fraction form
    609.14/840.61 = 347.17/x
  3. Step 3: Cross multiply
    609.14x = 840.61 × 347.17
  4. Step 4: Simplify right side
    609.14x = 291,834.57
  5. Step 5: Solve for x
    x = 291,834.57/609.14
  6. Step 6: Final answer
    x = 479.10

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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.