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Finding the Fourth Proportional to 540.53, 810.66 and 262.88

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Solution

The fourth proportional to 540.53, 810.66 and 262.88 is: 394.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.53 : 810.66 = 262.88 : x
  2. Step 2: Convert to fraction form
    540.53/810.66 = 262.88/x
  3. Step 3: Cross multiply
    540.53x = 810.66 × 262.88
  4. Step 4: Simplify right side
    540.53x = 213,106.27
  5. Step 5: Solve for x
    x = 213,106.27/540.53
  6. Step 6: Final answer
    x = 394.26

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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.