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Finding the Fourth Proportional to 540.25, 810.10 and 227.84

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Solution

The fourth proportional to 540.25, 810.10 and 227.84 is: 341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.25 : 810.10 = 227.84 : x
  2. Step 2: Convert to fraction form
    540.25/810.10 = 227.84/x
  3. Step 3: Cross multiply
    540.25x = 810.10 × 227.84
  4. Step 4: Simplify right side
    540.25x = 184,573.18
  5. Step 5: Solve for x
    x = 184,573.18/540.25
  6. Step 6: Final answer
    x = 341.64

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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.