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Finding the Fourth Proportional to 721.92, 996.08 and 427.24

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Solution

The fourth proportional to 721.92, 996.08 and 427.24 is: 589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.92 : 996.08 = 427.24 : x
  2. Step 2: Convert to fraction form
    721.92/996.08 = 427.24/x
  3. Step 3: Cross multiply
    721.92x = 996.08 × 427.24
  4. Step 4: Simplify right side
    721.92x = 425,565.22
  5. Step 5: Solve for x
    x = 425,565.22/721.92
  6. Step 6: Final answer
    x = 589.49

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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.