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Finding the Fourth Proportional to 517.40, 714 and 293.33

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Solution

The fourth proportional to 517.40, 714 and 293.33 is: 404.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.40 : 714 = 293.33 : x
  2. Step 2: Convert to fraction form
    517.40/714 = 293.33/x
  3. Step 3: Cross multiply
    517.40x = 714 × 293.33
  4. Step 4: Simplify right side
    517.40x = 209,439.41
  5. Step 5: Solve for x
    x = 209,439.41/517.40
  6. Step 6: Final answer
    x = 404.79

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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.