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Finding the Fourth Proportional to 722.54, 997.24 and 427.82

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Solution

The fourth proportional to 722.54, 997.24 and 427.82 is: 590.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.54 : 997.24 = 427.82 : x
  2. Step 2: Convert to fraction form
    722.54/997.24 = 427.82/x
  3. Step 3: Cross multiply
    722.54x = 997.24 × 427.82
  4. Step 4: Simplify right side
    722.54x = 426,639.22
  5. Step 5: Solve for x
    x = 426,639.22/722.54
  6. Step 6: Final answer
    x = 590.47

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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.