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Finding the Fourth Proportional to 522.24, 720.72 and 298.24

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Solution

The fourth proportional to 522.24, 720.72 and 298.24 is: 411.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.24 : 720.72 = 298.24 : x
  2. Step 2: Convert to fraction form
    522.24/720.72 = 298.24/x
  3. Step 3: Cross multiply
    522.24x = 720.72 × 298.24
  4. Step 4: Simplify right side
    522.24x = 214,948.43
  5. Step 5: Solve for x
    x = 214,948.43/522.24
  6. Step 6: Final answer
    x = 411.59

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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.