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Finding the Fourth Proportional to 507.67, 761.39 and 233.50

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Solution

The fourth proportional to 507.67, 761.39 and 233.50 is: 350.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.67 : 761.39 = 233.50 : x
  2. Step 2: Convert to fraction form
    507.67/761.39 = 233.50/x
  3. Step 3: Cross multiply
    507.67x = 761.39 × 233.50
  4. Step 4: Simplify right side
    507.67x = 177,783.38
  5. Step 5: Solve for x
    x = 177,783.38/507.67
  6. Step 6: Final answer
    x = 350.19

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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.