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Finding the Fourth Proportional to 609.40, 841.16 and 347.59

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Solution

The fourth proportional to 609.40, 841.16 and 347.59 is: 479.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.40 : 841.16 = 347.59 : x
  2. Step 2: Convert to fraction form
    609.40/841.16 = 347.59/x
  3. Step 3: Cross multiply
    609.40x = 841.16 × 347.59
  4. Step 4: Simplify right side
    609.40x = 292,372.86
  5. Step 5: Solve for x
    x = 292,372.86/609.40
  6. Step 6: Final answer
    x = 479.78

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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.