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Finding the Fourth Proportional to 265.59, 399.06 and 231.39

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Solution

The fourth proportional to 265.59, 399.06 and 231.39 is: 347.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.59 : 399.06 = 231.39 : x
  2. Step 2: Convert to fraction form
    265.59/399.06 = 231.39/x
  3. Step 3: Cross multiply
    265.59x = 399.06 × 231.39
  4. Step 4: Simplify right side
    265.59x = 92,338.49
  5. Step 5: Solve for x
    x = 92,338.49/265.59
  6. Step 6: Final answer
    x = 347.67

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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.