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Finding the Fourth Proportional to 377.50, 521.22 and 260.86

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Solution

The fourth proportional to 377.50, 521.22 and 260.86 is: 360.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.50 : 521.22 = 260.86 : x
  2. Step 2: Convert to fraction form
    377.50/521.22 = 260.86/x
  3. Step 3: Cross multiply
    377.50x = 521.22 × 260.86
  4. Step 4: Simplify right side
    377.50x = 135,965.45
  5. Step 5: Solve for x
    x = 135,965.45/377.50
  6. Step 6: Final answer
    x = 360.17

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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.