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Finding the Fourth Proportional to 408.51, 612.00 and 316.76

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Solution

The fourth proportional to 408.51, 612.00 and 316.76 is: 474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.51 : 612.00 = 316.76 : x
  2. Step 2: Convert to fraction form
    408.51/612.00 = 316.76/x
  3. Step 3: Cross multiply
    408.51x = 612.00 × 316.76
  4. Step 4: Simplify right side
    408.51x = 193,855.54
  5. Step 5: Solve for x
    x = 193,855.54/408.51
  6. Step 6: Final answer
    x = 474.54

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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.