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Finding the Fourth Proportional to 541.12, 810.60 and 540.40

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Solution

The fourth proportional to 541.12, 810.60 and 540.40 is: 809.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.12 : 810.60 = 540.40 : x
  2. Step 2: Convert to fraction form
    541.12/810.60 = 540.40/x
  3. Step 3: Cross multiply
    541.12x = 810.60 × 540.40
  4. Step 4: Simplify right side
    541.12x = 438,048.24
  5. Step 5: Solve for x
    x = 438,048.24/541.12
  6. Step 6: Final answer
    x = 809.52

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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.