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Finding the Fourth Proportional to 507.25, 760.27 and 233.37

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Solution

The fourth proportional to 507.25, 760.27 and 233.37 is: 349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.25 : 760.27 = 233.37 : x
  2. Step 2: Convert to fraction form
    507.25/760.27 = 233.37/x
  3. Step 3: Cross multiply
    507.25x = 760.27 × 233.37
  4. Step 4: Simplify right side
    507.25x = 177,424.21
  5. Step 5: Solve for x
    x = 177,424.21/507.25
  6. Step 6: Final answer
    x = 349.78

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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.