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Finding the Fourth Proportional to 517.55, 713.48 and 412.97

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Solution

The fourth proportional to 517.55, 713.48 and 412.97 is: 569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.55 : 713.48 = 412.97 : x
  2. Step 2: Convert to fraction form
    517.55/713.48 = 412.97/x
  3. Step 3: Cross multiply
    517.55x = 713.48 × 412.97
  4. Step 4: Simplify right side
    517.55x = 294,640.20
  5. Step 5: Solve for x
    x = 294,640.20/517.55
  6. Step 6: Final answer
    x = 569.30

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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.