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Finding the Fourth Proportional to 523.10, 721.50 and 392.42

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Solution

The fourth proportional to 523.10, 721.50 and 392.42 is: 541.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.10 : 721.50 = 392.42 : x
  2. Step 2: Convert to fraction form
    523.10/721.50 = 392.42/x
  3. Step 3: Cross multiply
    523.10x = 721.50 × 392.42
  4. Step 4: Simplify right side
    523.10x = 283,131.03
  5. Step 5: Solve for x
    x = 283,131.03/523.10
  6. Step 6: Final answer
    x = 541.26

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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.