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Finding the Fourth Proportional to 518.25, 715.25 and 311.25

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Solution

The fourth proportional to 518.25, 715.25 and 311.25 is: 429.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.25 : 715.25 = 311.25 : x
  2. Step 2: Convert to fraction form
    518.25/715.25 = 311.25/x
  3. Step 3: Cross multiply
    518.25x = 715.25 × 311.25
  4. Step 4: Simplify right side
    518.25x = 222,620.01
  5. Step 5: Solve for x
    x = 222,620.01/518.25
  6. Step 6: Final answer
    x = 429.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.