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Finding the Fourth Proportional to 310.25, 465.83 and 269.24

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Solution

The fourth proportional to 310.25, 465.83 and 269.24 is: 404.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.25 : 465.83 = 269.24 : x
  2. Step 2: Convert to fraction form
    310.25/465.83 = 269.24/x
  3. Step 3: Cross multiply
    310.25x = 465.83 × 269.24
  4. Step 4: Simplify right side
    310.25x = 125,416.39
  5. Step 5: Solve for x
    x = 125,416.39/310.25
  6. Step 6: Final answer
    x = 404.25

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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.