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Finding the Fourth Proportional to 310.35, 467.10 and 233.70

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Solution

The fourth proportional to 310.35, 467.10 and 233.70 is: 351.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.35 : 467.10 = 233.70 : x
  2. Step 2: Convert to fraction form
    310.35/467.10 = 233.70/x
  3. Step 3: Cross multiply
    310.35x = 467.10 × 233.70
  4. Step 4: Simplify right side
    310.35x = 109,161.27
  5. Step 5: Solve for x
    x = 109,161.27/310.35
  6. Step 6: Final answer
    x = 351.74

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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.