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Finding the Fourth Proportional to 335.76, 506.18 and 312.27

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Solution

The fourth proportional to 335.76, 506.18 and 312.27 is: 470.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.76 : 506.18 = 312.27 : x
  2. Step 2: Convert to fraction form
    335.76/506.18 = 312.27/x
  3. Step 3: Cross multiply
    335.76x = 506.18 × 312.27
  4. Step 4: Simplify right side
    335.76x = 158,064.83
  5. Step 5: Solve for x
    x = 158,064.83/335.76
  6. Step 6: Final answer
    x = 470.77

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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.