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Finding the Fourth Proportional to 517.34, 713.91 and 284.46

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Solution

The fourth proportional to 517.34, 713.91 and 284.46 is: 392.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.34 : 713.91 = 284.46 : x
  2. Step 2: Convert to fraction form
    517.34/713.91 = 284.46/x
  3. Step 3: Cross multiply
    517.34x = 713.91 × 284.46
  4. Step 4: Simplify right side
    517.34x = 203,081.24
  5. Step 5: Solve for x
    x = 203,081.24/517.34
  6. Step 6: Final answer
    x = 392.55

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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.