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Finding the Fourth Proportional to 522.96, 721.08 and 424.41

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Solution

The fourth proportional to 522.96, 721.08 and 424.41 is: 585.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.96 : 721.08 = 424.41 : x
  2. Step 2: Convert to fraction form
    522.96/721.08 = 424.41/x
  3. Step 3: Cross multiply
    522.96x = 721.08 × 424.41
  4. Step 4: Simplify right side
    522.96x = 306,033.56
  5. Step 5: Solve for x
    x = 306,033.56/522.96
  6. Step 6: Final answer
    x = 585.19

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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.