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Finding the Fourth Proportional to 442.10, 609.66 and 343.69

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Solution

The fourth proportional to 442.10, 609.66 and 343.69 is: 473.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.10 : 609.66 = 343.69 : x
  2. Step 2: Convert to fraction form
    442.10/609.66 = 343.69/x
  3. Step 3: Cross multiply
    442.10x = 609.66 × 343.69
  4. Step 4: Simplify right side
    442.10x = 209,532.52
  5. Step 5: Solve for x
    x = 209,532.52/442.10
  6. Step 6: Final answer
    x = 473.95

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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.