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Finding the Fourth Proportional to 507.67, 761.55 and 233.79

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Solution

The fourth proportional to 507.67, 761.55 and 233.79 is: 350.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.67 : 761.55 = 233.79 : x
  2. Step 2: Convert to fraction form
    507.67/761.55 = 233.79/x
  3. Step 3: Cross multiply
    507.67x = 761.55 × 233.79
  4. Step 4: Simplify right side
    507.67x = 178,040.36
  5. Step 5: Solve for x
    x = 178,040.36/507.67
  6. Step 6: Final answer
    x = 350.70

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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.