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Finding the Fourth Proportional to 722.84, 997.26 and 412.16

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Solution

The fourth proportional to 722.84, 997.26 and 412.16 is: 568.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.84 : 997.26 = 412.16 : x
  2. Step 2: Convert to fraction form
    722.84/997.26 = 412.16/x
  3. Step 3: Cross multiply
    722.84x = 997.26 × 412.16
  4. Step 4: Simplify right side
    722.84x = 411,030.68
  5. Step 5: Solve for x
    x = 411,030.68/722.84
  6. Step 6: Final answer
    x = 568.63

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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.