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Finding the Fourth Proportional to 518.29, 777.85 and 500.33

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Solution

The fourth proportional to 518.29, 777.85 and 500.33 is: 750.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.29 : 777.85 = 500.33 : x
  2. Step 2: Convert to fraction form
    518.29/777.85 = 500.33/x
  3. Step 3: Cross multiply
    518.29x = 777.85 × 500.33
  4. Step 4: Simplify right side
    518.29x = 389,182.38
  5. Step 5: Solve for x
    x = 389,182.38/518.29
  6. Step 6: Final answer
    x = 750.90

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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.