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Finding the Fourth Proportional to 722.64, 997.38 and 412.14

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Solution

The fourth proportional to 722.64, 997.38 and 412.14 is: 568.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.64 : 997.38 = 412.14 : x
  2. Step 2: Convert to fraction form
    722.64/997.38 = 412.14/x
  3. Step 3: Cross multiply
    722.64x = 997.38 × 412.14
  4. Step 4: Simplify right side
    722.64x = 411,060.19
  5. Step 5: Solve for x
    x = 411,060.19/722.64
  6. Step 6: Final answer
    x = 568.83

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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.