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Finding the Fourth Proportional to 722.15, 996.58 and 427.42

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Solution

The fourth proportional to 722.15, 996.58 and 427.42 is: 589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.15 : 996.58 = 427.42 : x
  2. Step 2: Convert to fraction form
    722.15/996.58 = 427.42/x
  3. Step 3: Cross multiply
    722.15x = 996.58 × 427.42
  4. Step 4: Simplify right side
    722.15x = 425,960.00
  5. Step 5: Solve for x
    x = 425,960.00/722.15
  6. Step 6: Final answer
    x = 589.85

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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.