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Finding the Fourth Proportional to 722.50, 997.06 and 412

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Solution

The fourth proportional to 722.50, 997.06 and 412 is: 568.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.50 : 997.06 = 412 : x
  2. Step 2: Convert to fraction form
    722.50/997.06 = 412/x
  3. Step 3: Cross multiply
    722.50x = 997.06 × 412
  4. Step 4: Simplify right side
    722.50x = 410,788.72
  5. Step 5: Solve for x
    x = 410,788.72/722.50
  6. Step 6: Final answer
    x = 568.57

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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.