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Finding the Fourth Proportional to 507.91, 761.80 and 233.92

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Solution

The fourth proportional to 507.91, 761.80 and 233.92 is: 350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.91 : 761.80 = 233.92 : x
  2. Step 2: Convert to fraction form
    507.91/761.80 = 233.92/x
  3. Step 3: Cross multiply
    507.91x = 761.80 × 233.92
  4. Step 4: Simplify right side
    507.91x = 178,200.26
  5. Step 5: Solve for x
    x = 178,200.26/507.91
  6. Step 6: Final answer
    x = 350.85

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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.