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Finding the Fourth Proportional to 540.51, 811.37 and 216.11

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Solution

The fourth proportional to 540.51, 811.37 and 216.11 is: 324.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.51 : 811.37 = 216.11 : x
  2. Step 2: Convert to fraction form
    540.51/811.37 = 216.11/x
  3. Step 3: Cross multiply
    540.51x = 811.37 × 216.11
  4. Step 4: Simplify right side
    540.51x = 175,340.03
  5. Step 5: Solve for x
    x = 175,340.03/540.51
  6. Step 6: Final answer
    x = 324.40

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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.