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Finding the Fourth Proportional to 517.30, 713.73 and 400.66

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Solution

The fourth proportional to 517.30, 713.73 and 400.66 is: 552.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.30 : 713.73 = 400.66 : x
  2. Step 2: Convert to fraction form
    517.30/713.73 = 400.66/x
  3. Step 3: Cross multiply
    517.30x = 713.73 × 400.66
  4. Step 4: Simplify right side
    517.30x = 285,963.06
  5. Step 5: Solve for x
    x = 285,963.06/517.30
  6. Step 6: Final answer
    x = 552.80

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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.