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Finding the Fourth Proportional to 298.66, 411.22 and 259.17

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Solution

The fourth proportional to 298.66, 411.22 and 259.17 is: 356.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.66 : 411.22 = 259.17 : x
  2. Step 2: Convert to fraction form
    298.66/411.22 = 259.17/x
  3. Step 3: Cross multiply
    298.66x = 411.22 × 259.17
  4. Step 4: Simplify right side
    298.66x = 106,575.89
  5. Step 5: Solve for x
    x = 106,575.89/298.66
  6. Step 6: Final answer
    x = 356.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.