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Finding the Fourth Proportional to 377.26, 520.50 and 260.62

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Solution

The fourth proportional to 377.26, 520.50 and 260.62 is: 359.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.26 : 520.50 = 260.62 : x
  2. Step 2: Convert to fraction form
    377.26/520.50 = 260.62/x
  3. Step 3: Cross multiply
    377.26x = 520.50 × 260.62
  4. Step 4: Simplify right side
    377.26x = 135,652.71
  5. Step 5: Solve for x
    x = 135,652.71/377.26
  6. Step 6: Final answer
    x = 359.57

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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.