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Finding the Fourth Proportional to 503.87, 755.67 and 260.24

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Solution

The fourth proportional to 503.87, 755.67 and 260.24 is: 390.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.87 : 755.67 = 260.24 : x
  2. Step 2: Convert to fraction form
    503.87/755.67 = 260.24/x
  3. Step 3: Cross multiply
    503.87x = 755.67 × 260.24
  4. Step 4: Simplify right side
    503.87x = 196,655.56
  5. Step 5: Solve for x
    x = 196,655.56/503.87
  6. Step 6: Final answer
    x = 390.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.