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Finding the Fourth Proportional to 609.86, 841.58 and 344.28

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Solution

The fourth proportional to 609.86, 841.58 and 344.28 is: 475.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.86 : 841.58 = 344.28 : x
  2. Step 2: Convert to fraction form
    609.86/841.58 = 344.28/x
  3. Step 3: Cross multiply
    609.86x = 841.58 × 344.28
  4. Step 4: Simplify right side
    609.86x = 289,739.16
  5. Step 5: Solve for x
    x = 289,739.16/609.86
  6. Step 6: Final answer
    x = 475.09

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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.