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Finding the Fourth Proportional to 624.25, 935.12 and 310.96

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Solution

The fourth proportional to 624.25, 935.12 and 310.96 is: 465.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.25 : 935.12 = 310.96 : x
  2. Step 2: Convert to fraction form
    624.25/935.12 = 310.96/x
  3. Step 3: Cross multiply
    624.25x = 935.12 × 310.96
  4. Step 4: Simplify right side
    624.25x = 290,782.57
  5. Step 5: Solve for x
    x = 290,782.57/624.25
  6. Step 6: Final answer
    x = 465.81

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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.