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Finding the Fourth Proportional to 609.48, 841.10 and 343.94

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Solution

The fourth proportional to 609.48, 841.10 and 343.94 is: 474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.48 : 841.10 = 343.94 : x
  2. Step 2: Convert to fraction form
    609.48/841.10 = 343.94/x
  3. Step 3: Cross multiply
    609.48x = 841.10 × 343.94
  4. Step 4: Simplify right side
    609.48x = 289,287.93
  5. Step 5: Solve for x
    x = 289,287.93/609.48
  6. Step 6: Final answer
    x = 474.65

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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.