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Finding the Fourth Proportional to 522.23, 720.89 and 356.54

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Solution

The fourth proportional to 522.23, 720.89 and 356.54 is: 492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.23 : 720.89 = 356.54 : x
  2. Step 2: Convert to fraction form
    522.23/720.89 = 356.54/x
  3. Step 3: Cross multiply
    522.23x = 720.89 × 356.54
  4. Step 4: Simplify right side
    522.23x = 257,020.73
  5. Step 5: Solve for x
    x = 257,020.73/522.23
  6. Step 6: Final answer
    x = 492.16

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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.