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Finding the Fourth Proportional to 540.81, 811.54 and 232.67

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Solution

The fourth proportional to 540.81, 811.54 and 232.67 is: 349.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.81 : 811.54 = 232.67 : x
  2. Step 2: Convert to fraction form
    540.81/811.54 = 232.67/x
  3. Step 3: Cross multiply
    540.81x = 811.54 × 232.67
  4. Step 4: Simplify right side
    540.81x = 188,821.01
  5. Step 5: Solve for x
    x = 188,821.01/540.81
  6. Step 6: Final answer
    x = 349.14

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Why These Related Problems?

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