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Finding the Fourth Proportional to 540.78, 810.84 and 216.24

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Solution

The fourth proportional to 540.78, 810.84 and 216.24 is: 324.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.78 : 810.84 = 216.24 : x
  2. Step 2: Convert to fraction form
    540.78/810.84 = 216.24/x
  3. Step 3: Cross multiply
    540.78x = 810.84 × 216.24
  4. Step 4: Simplify right side
    540.78x = 175,336.04
  5. Step 5: Solve for x
    x = 175,336.04/540.78
  6. Step 6: Final answer
    x = 324.23

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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.