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Finding the Fourth Proportional to 517.36, 713.14 and 392.52

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Solution

The fourth proportional to 517.36, 713.14 and 392.52 is: 541.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.36 : 713.14 = 392.52 : x
  2. Step 2: Convert to fraction form
    517.36/713.14 = 392.52/x
  3. Step 3: Cross multiply
    517.36x = 713.14 × 392.52
  4. Step 4: Simplify right side
    517.36x = 279,921.71
  5. Step 5: Solve for x
    x = 279,921.71/517.36
  6. Step 6: Final answer
    x = 541.06

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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.