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Finding the Fourth Proportional to 540.61, 810.85 and 232.41

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Solution

The fourth proportional to 540.61, 810.85 and 232.41 is: 348.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.61 : 810.85 = 232.41 : x
  2. Step 2: Convert to fraction form
    540.61/810.85 = 232.41/x
  3. Step 3: Cross multiply
    540.61x = 810.85 × 232.41
  4. Step 4: Simplify right side
    540.61x = 188,445.01
  5. Step 5: Solve for x
    x = 188,445.01/540.61
  6. Step 6: Final answer
    x = 348.58

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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.