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Finding the Fourth Proportional to 541.17, 810.14 and 324.09

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Solution

The fourth proportional to 541.17, 810.14 and 324.09 is: 485.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.17 : 810.14 = 324.09 : x
  2. Step 2: Convert to fraction form
    541.17/810.14 = 324.09/x
  3. Step 3: Cross multiply
    541.17x = 810.14 × 324.09
  4. Step 4: Simplify right side
    541.17x = 262,556.65
  5. Step 5: Solve for x
    x = 262,556.65/541.17
  6. Step 6: Final answer
    x = 485.16

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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.