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Finding the Fourth Proportional to 540.76, 810.06 and 324.22

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Solution

The fourth proportional to 540.76, 810.06 and 324.22 is: 485.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.76 : 810.06 = 324.22 : x
  2. Step 2: Convert to fraction form
    540.76/810.06 = 324.22/x
  3. Step 3: Cross multiply
    540.76x = 810.06 × 324.22
  4. Step 4: Simplify right side
    540.76x = 262,637.65
  5. Step 5: Solve for x
    x = 262,637.65/540.76
  6. Step 6: Final answer
    x = 485.68

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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.