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Finding the Fourth Proportional to 540.69, 811.31 and 410.65

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Solution

The fourth proportional to 540.69, 811.31 and 410.65 is: 616.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.69 : 811.31 = 410.65 : x
  2. Step 2: Convert to fraction form
    540.69/811.31 = 410.65/x
  3. Step 3: Cross multiply
    540.69x = 811.31 × 410.65
  4. Step 4: Simplify right side
    540.69x = 333,160.37
  5. Step 5: Solve for x
    x = 333,160.37/540.69
  6. Step 6: Final answer
    x = 616.18

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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.