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Finding the Fourth Proportional to 537.23, 741.25 and 340.67

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Solution

The fourth proportional to 537.23, 741.25 and 340.67 is: 470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.23 : 741.25 = 340.67 : x
  2. Step 2: Convert to fraction form
    537.23/741.25 = 340.67/x
  3. Step 3: Cross multiply
    537.23x = 741.25 × 340.67
  4. Step 4: Simplify right side
    537.23x = 252,523.92
  5. Step 5: Solve for x
    x = 252,523.92/537.23
  6. Step 6: Final answer
    x = 470.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.