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Finding the Fourth Proportional to 540.53, 810.38 and 216.12

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Solution

The fourth proportional to 540.53, 810.38 and 216.12 is: 324.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.53 : 810.38 = 216.12 : x
  2. Step 2: Convert to fraction form
    540.53/810.38 = 216.12/x
  3. Step 3: Cross multiply
    540.53x = 810.38 × 216.12
  4. Step 4: Simplify right side
    540.53x = 175,139.87
  5. Step 5: Solve for x
    x = 175,139.87/540.53
  6. Step 6: Final answer
    x = 324.02

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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.