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Finding the Fourth Proportional to 540.21, 810.14 and 280.38

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Solution

The fourth proportional to 540.21, 810.14 and 280.38 is: 420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.21 : 810.14 = 280.38 : x
  2. Step 2: Convert to fraction form
    540.21/810.14 = 280.38/x
  3. Step 3: Cross multiply
    540.21x = 810.14 × 280.38
  4. Step 4: Simplify right side
    540.21x = 227,145.65
  5. Step 5: Solve for x
    x = 227,145.65/540.21
  6. Step 6: Final answer
    x = 420.48

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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.