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Finding the Fourth Proportional to 515.88, 711.90 and 338.76

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Solution

The fourth proportional to 515.88, 711.90 and 338.76 is: 467.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.88 : 711.90 = 338.76 : x
  2. Step 2: Convert to fraction form
    515.88/711.90 = 338.76/x
  3. Step 3: Cross multiply
    515.88x = 711.90 × 338.76
  4. Step 4: Simplify right side
    515.88x = 241,163.24
  5. Step 5: Solve for x
    x = 241,163.24/515.88
  6. Step 6: Final answer
    x = 467.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.