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Finding the Fourth Proportional to 611.72, 844.08 and 349.76

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Solution

The fourth proportional to 611.72, 844.08 and 349.76 is: 482.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.72 : 844.08 = 349.76 : x
  2. Step 2: Convert to fraction form
    611.72/844.08 = 349.76/x
  3. Step 3: Cross multiply
    611.72x = 844.08 × 349.76
  4. Step 4: Simplify right side
    611.72x = 295,225.42
  5. Step 5: Solve for x
    x = 295,225.42/611.72
  6. Step 6: Final answer
    x = 482.62

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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.