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Finding the Fourth Proportional to 609.16, 840.63 and 347.14

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Solution

The fourth proportional to 609.16, 840.63 and 347.14 is: 479.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.16 : 840.63 = 347.14 : x
  2. Step 2: Convert to fraction form
    609.16/840.63 = 347.14/x
  3. Step 3: Cross multiply
    609.16x = 840.63 × 347.14
  4. Step 4: Simplify right side
    609.16x = 291,816.30
  5. Step 5: Solve for x
    x = 291,816.30/609.16
  6. Step 6: Final answer
    x = 479.05

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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.