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Finding the Fourth Proportional to 503.39, 755.31 and 298.36

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Solution

The fourth proportional to 503.39, 755.31 and 298.36 is: 447.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.39 : 755.31 = 298.36 : x
  2. Step 2: Convert to fraction form
    503.39/755.31 = 298.36/x
  3. Step 3: Cross multiply
    503.39x = 755.31 × 298.36
  4. Step 4: Simplify right side
    503.39x = 225,354.29
  5. Step 5: Solve for x
    x = 225,354.29/503.39
  6. Step 6: Final answer
    x = 447.67

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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.