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Finding the Fourth Proportional to 507.55, 761.96 and 333.68

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Solution

The fourth proportional to 507.55, 761.96 and 333.68 is: 500.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.55 : 761.96 = 333.68 : x
  2. Step 2: Convert to fraction form
    507.55/761.96 = 333.68/x
  3. Step 3: Cross multiply
    507.55x = 761.96 × 333.68
  4. Step 4: Simplify right side
    507.55x = 254,245.33
  5. Step 5: Solve for x
    x = 254,245.33/507.55
  6. Step 6: Final answer
    x = 500.93

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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.