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Finding the Fourth Proportional to 522.62, 721.31 and 356.72

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Solution

The fourth proportional to 522.62, 721.31 and 356.72 is: 492.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.62 : 721.31 = 356.72 : x
  2. Step 2: Convert to fraction form
    522.62/721.31 = 356.72/x
  3. Step 3: Cross multiply
    522.62x = 721.31 × 356.72
  4. Step 4: Simplify right side
    522.62x = 257,305.72
  5. Step 5: Solve for x
    x = 257,305.72/522.62
  6. Step 6: Final answer
    x = 492.34

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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.