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Finding the Fourth Proportional to 307.50, 426.69 and 295.32

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Solution

The fourth proportional to 307.50, 426.69 and 295.32 is: 409.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.50 : 426.69 = 295.32 : x
  2. Step 2: Convert to fraction form
    307.50/426.69 = 295.32/x
  3. Step 3: Cross multiply
    307.50x = 426.69 × 295.32
  4. Step 4: Simplify right side
    307.50x = 126,010.09
  5. Step 5: Solve for x
    x = 126,010.09/307.50
  6. Step 6: Final answer
    x = 409.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.