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Finding the Fourth Proportional to 310.74, 465.35 and 249.99

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Solution

The fourth proportional to 310.74, 465.35 and 249.99 is: 374.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.74 : 465.35 = 249.99 : x
  2. Step 2: Convert to fraction form
    310.74/465.35 = 249.99/x
  3. Step 3: Cross multiply
    310.74x = 465.35 × 249.99
  4. Step 4: Simplify right side
    310.74x = 116,329.85
  5. Step 5: Solve for x
    x = 116,329.85/310.74
  6. Step 6: Final answer
    x = 374.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.