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Finding the Fourth Proportional to 297.77, 411.78 and 260.85

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Solution

The fourth proportional to 297.77, 411.78 and 260.85 is: 360.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.77 : 411.78 = 260.85 : x
  2. Step 2: Convert to fraction form
    297.77/411.78 = 260.85/x
  3. Step 3: Cross multiply
    297.77x = 411.78 × 260.85
  4. Step 4: Simplify right side
    297.77x = 107,415.34
  5. Step 5: Solve for x
    x = 107,415.34/297.77
  6. Step 6: Final answer
    x = 360.74

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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.