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Finding the Fourth Proportional to 522.74, 721.86 and 392.24

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Solution

The fourth proportional to 522.74, 721.86 and 392.24 is: 541.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.74 : 721.86 = 392.24 : x
  2. Step 2: Convert to fraction form
    522.74/721.86 = 392.24/x
  3. Step 3: Cross multiply
    522.74x = 721.86 × 392.24
  4. Step 4: Simplify right side
    522.74x = 283,142.37
  5. Step 5: Solve for x
    x = 283,142.37/522.74
  6. Step 6: Final answer
    x = 541.65

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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.