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Finding the Fourth Proportional to 540.60, 810.30 and 232.40

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Solution

The fourth proportional to 540.60, 810.30 and 232.40 is: 348.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.60 : 810.30 = 232.40 : x
  2. Step 2: Convert to fraction form
    540.60/810.30 = 232.40/x
  3. Step 3: Cross multiply
    540.60x = 810.30 × 232.40
  4. Step 4: Simplify right side
    540.60x = 188,313.72
  5. Step 5: Solve for x
    x = 188,313.72/540.60
  6. Step 6: Final answer
    x = 348.34

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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.