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Finding the Fourth Proportional to 540.46, 810.69 and 175.05

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Solution

The fourth proportional to 540.46, 810.69 and 175.05 is: 262.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.46 : 810.69 = 175.05 : x
  2. Step 2: Convert to fraction form
    540.46/810.69 = 175.05/x
  3. Step 3: Cross multiply
    540.46x = 810.69 × 175.05
  4. Step 4: Simplify right side
    540.46x = 141,911.28
  5. Step 5: Solve for x
    x = 141,911.28/540.46
  6. Step 6: Final answer
    x = 262.58

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Similar ratio
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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.