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Finding the Fourth Proportional to 517.03, 713.45 and 295.97

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Solution

The fourth proportional to 517.03, 713.45 and 295.97 is: 408.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.03 : 713.45 = 295.97 : x
  2. Step 2: Convert to fraction form
    517.03/713.45 = 295.97/x
  3. Step 3: Cross multiply
    517.03x = 713.45 × 295.97
  4. Step 4: Simplify right side
    517.03x = 211,158.32
  5. Step 5: Solve for x
    x = 211,158.32/517.03
  6. Step 6: Final answer
    x = 408.40

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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.