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Finding the Fourth Proportional to 515.43, 766.13 and 501.80

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Solution

The fourth proportional to 515.43, 766.13 and 501.80 is: 745.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.43 : 766.13 = 501.80 : x
  2. Step 2: Convert to fraction form
    515.43/766.13 = 501.80/x
  3. Step 3: Cross multiply
    515.43x = 766.13 × 501.80
  4. Step 4: Simplify right side
    515.43x = 384,437.69
  5. Step 5: Solve for x
    x = 384,437.69/515.43
  6. Step 6: Final answer
    x = 745.86

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