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Finding the Fourth Proportional to 508.39, 762.73 and 215.74

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Solution

The fourth proportional to 508.39, 762.73 and 215.74 is: 323.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.39 : 762.73 = 215.74 : x
  2. Step 2: Convert to fraction form
    508.39/762.73 = 215.74/x
  3. Step 3: Cross multiply
    508.39x = 762.73 × 215.74
  4. Step 4: Simplify right side
    508.39x = 164,551.37
  5. Step 5: Solve for x
    x = 164,551.37/508.39
  6. Step 6: Final answer
    x = 323.67

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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.