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Finding the Fourth Proportional to 722.48, 997.08 and 412.04

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Solution

The fourth proportional to 722.48, 997.08 and 412.04 is: 568.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.48 : 997.08 = 412.04 : x
  2. Step 2: Convert to fraction form
    722.48/997.08 = 412.04/x
  3. Step 3: Cross multiply
    722.48x = 997.08 × 412.04
  4. Step 4: Simplify right side
    722.48x = 410,836.84
  5. Step 5: Solve for x
    x = 410,836.84/722.48
  6. Step 6: Final answer
    x = 568.65

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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.