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Finding the Fourth Proportional to 312.96, 469.62 and 204.78

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Solution

The fourth proportional to 312.96, 469.62 and 204.78 is: 307.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.96 : 469.62 = 204.78 : x
  2. Step 2: Convert to fraction form
    312.96/469.62 = 204.78/x
  3. Step 3: Cross multiply
    312.96x = 469.62 × 204.78
  4. Step 4: Simplify right side
    312.96x = 96,168.78
  5. Step 5: Solve for x
    x = 96,168.78/312.96
  6. Step 6: Final answer
    x = 307.29

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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.