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Finding the Fourth Proportional to 523.68, 721.14 and 392.46

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Solution

The fourth proportional to 523.68, 721.14 and 392.46 is: 540.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.68 : 721.14 = 392.46 : x
  2. Step 2: Convert to fraction form
    523.68/721.14 = 392.46/x
  3. Step 3: Cross multiply
    523.68x = 721.14 × 392.46
  4. Step 4: Simplify right side
    523.68x = 283,018.60
  5. Step 5: Solve for x
    x = 283,018.60/523.68
  6. Step 6: Final answer
    x = 540.44

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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.