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Finding the Fourth Proportional to 507.80, 760.38 and 333.94

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Solution

The fourth proportional to 507.80, 760.38 and 333.94 is: 500.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.80 : 760.38 = 333.94 : x
  2. Step 2: Convert to fraction form
    507.80/760.38 = 333.94/x
  3. Step 3: Cross multiply
    507.80x = 760.38 × 333.94
  4. Step 4: Simplify right side
    507.80x = 253,921.30
  5. Step 5: Solve for x
    x = 253,921.30/507.80
  6. Step 6: Final answer
    x = 500.04

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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.