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Finding the Fourth Proportional to 514.92, 768 and 499.52

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Solution

The fourth proportional to 514.92, 768 and 499.52 is: 745.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.92 : 768 = 499.52 : x
  2. Step 2: Convert to fraction form
    514.92/768 = 499.52/x
  3. Step 3: Cross multiply
    514.92x = 768 × 499.52
  4. Step 4: Simplify right side
    514.92x = 383,631.36
  5. Step 5: Solve for x
    x = 383,631.36/514.92
  6. Step 6: Final answer
    x = 745.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.