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Finding the Fourth Proportional to 609.74, 841.41 and 347.75

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Solution

The fourth proportional to 609.74, 841.41 and 347.75 is: 479.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.74 : 841.41 = 347.75 : x
  2. Step 2: Convert to fraction form
    609.74/841.41 = 347.75/x
  3. Step 3: Cross multiply
    609.74x = 841.41 × 347.75
  4. Step 4: Simplify right side
    609.74x = 292,602.43
  5. Step 5: Solve for x
    x = 292,602.43/609.74
  6. Step 6: Final answer
    x = 479.88

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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.