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Finding the Fourth Proportional to 515.68, 773.64 and 299.40

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Solution

The fourth proportional to 515.68, 773.64 and 299.40 is: 449.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.68 : 773.64 = 299.40 : x
  2. Step 2: Convert to fraction form
    515.68/773.64 = 299.40/x
  3. Step 3: Cross multiply
    515.68x = 773.64 × 299.40
  4. Step 4: Simplify right side
    515.68x = 231,627.82
  5. Step 5: Solve for x
    x = 231,627.82/515.68
  6. Step 6: Final answer
    x = 449.17

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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.