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Finding the Fourth Proportional to 540.58, 810.69 and 175.27

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Solution

The fourth proportional to 540.58, 810.69 and 175.27 is: 262.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.58 : 810.69 = 175.27 : x
  2. Step 2: Convert to fraction form
    540.58/810.69 = 175.27/x
  3. Step 3: Cross multiply
    540.58x = 810.69 × 175.27
  4. Step 4: Simplify right side
    540.58x = 142,089.64
  5. Step 5: Solve for x
    x = 142,089.64/540.58
  6. Step 6: Final answer
    x = 262.85

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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.