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Finding the Fourth Proportional to 316.08, 472.74 and 276.12

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Solution

The fourth proportional to 316.08, 472.74 and 276.12 is: 412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.08 : 472.74 = 276.12 : x
  2. Step 2: Convert to fraction form
    316.08/472.74 = 276.12/x
  3. Step 3: Cross multiply
    316.08x = 472.74 × 276.12
  4. Step 4: Simplify right side
    316.08x = 130,532.97
  5. Step 5: Solve for x
    x = 130,532.97/316.08
  6. Step 6: Final answer
    x = 412.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.