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Finding the Fourth Proportional to 312.96, 470.52 and 311.40

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Solution

The fourth proportional to 312.96, 470.52 and 311.40 is: 468.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.96 : 470.52 = 311.40 : x
  2. Step 2: Convert to fraction form
    312.96/470.52 = 311.40/x
  3. Step 3: Cross multiply
    312.96x = 470.52 × 311.40
  4. Step 4: Simplify right side
    312.96x = 146,519.93
  5. Step 5: Solve for x
    x = 146,519.93/312.96
  6. Step 6: Final answer
    x = 468.17

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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.