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Finding the Fourth Proportional to 722.14, 996.57 and 407.34

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Solution

The fourth proportional to 722.14, 996.57 and 407.34 is: 562.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.14 : 996.57 = 407.34 : x
  2. Step 2: Convert to fraction form
    722.14/996.57 = 407.34/x
  3. Step 3: Cross multiply
    722.14x = 996.57 × 407.34
  4. Step 4: Simplify right side
    722.14x = 405,943.16
  5. Step 5: Solve for x
    x = 405,943.16/722.14
  6. Step 6: Final answer
    x = 562.14

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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.