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Finding the Fourth Proportional to 540.58, 810.75 and 324.22

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Solution

The fourth proportional to 540.58, 810.75 and 324.22 is: 486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.58 : 810.75 = 324.22 : x
  2. Step 2: Convert to fraction form
    540.58/810.75 = 324.22/x
  3. Step 3: Cross multiply
    540.58x = 810.75 × 324.22
  4. Step 4: Simplify right side
    540.58x = 262,861.37
  5. Step 5: Solve for x
    x = 262,861.37/540.58
  6. Step 6: Final answer
    x = 486.26

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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.