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Finding the Fourth Proportional to 522.24, 720.80 and 356.48

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Solution

The fourth proportional to 522.24, 720.80 and 356.48 is: 492.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.24 : 720.80 = 356.48 : x
  2. Step 2: Convert to fraction form
    522.24/720.80 = 356.48/x
  3. Step 3: Cross multiply
    522.24x = 720.80 × 356.48
  4. Step 4: Simplify right side
    522.24x = 256,950.78
  5. Step 5: Solve for x
    x = 256,950.78/522.24
  6. Step 6: Final answer
    x = 492.02

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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.