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Finding the Fourth Proportional to 365.92, 551.44 and 312.52

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Solution

The fourth proportional to 365.92, 551.44 and 312.52 is: 470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.92 : 551.44 = 312.52 : x
  2. Step 2: Convert to fraction form
    365.92/551.44 = 312.52/x
  3. Step 3: Cross multiply
    365.92x = 551.44 × 312.52
  4. Step 4: Simplify right side
    365.92x = 172,336.03
  5. Step 5: Solve for x
    x = 172,336.03/365.92
  6. Step 6: Final answer
    x = 470.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.