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Finding the Fourth Proportional to 310.32, 464.67 and 237.96

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Solution

The fourth proportional to 310.32, 464.67 and 237.96 is: 356.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.32 : 464.67 = 237.96 : x
  2. Step 2: Convert to fraction form
    310.32/464.67 = 237.96/x
  3. Step 3: Cross multiply
    310.32x = 464.67 × 237.96
  4. Step 4: Simplify right side
    310.32x = 110,572.87
  5. Step 5: Solve for x
    x = 110,572.87/310.32
  6. Step 6: Final answer
    x = 356.32

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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.