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Finding the Fourth Proportional to 723.06, 997.77 and 490.50

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Solution

The fourth proportional to 723.06, 997.77 and 490.50 is: 676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.06 : 997.77 = 490.50 : x
  2. Step 2: Convert to fraction form
    723.06/997.77 = 490.50/x
  3. Step 3: Cross multiply
    723.06x = 997.77 × 490.50
  4. Step 4: Simplify right side
    723.06x = 489,406.19
  5. Step 5: Solve for x
    x = 489,406.19/723.06
  6. Step 6: Final answer
    x = 676.85

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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.