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Finding the Fourth Proportional to 540.69, 810.95 and 175.47

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Solution

The fourth proportional to 540.69, 810.95 and 175.47 is: 263.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.69 : 810.95 = 175.47 : x
  2. Step 2: Convert to fraction form
    540.69/810.95 = 175.47/x
  3. Step 3: Cross multiply
    540.69x = 810.95 × 175.47
  4. Step 4: Simplify right side
    540.69x = 142,296.52
  5. Step 5: Solve for x
    x = 142,296.52/540.69
  6. Step 6: Final answer
    x = 263.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.