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Finding the Fourth Proportional to 540.48, 811.36 and 324.16

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Solution

The fourth proportional to 540.48, 811.36 and 324.16 is: 486.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.48 : 811.36 = 324.16 : x
  2. Step 2: Convert to fraction form
    540.48/811.36 = 324.16/x
  3. Step 3: Cross multiply
    540.48x = 811.36 × 324.16
  4. Step 4: Simplify right side
    540.48x = 263,010.46
  5. Step 5: Solve for x
    x = 263,010.46/540.48
  6. Step 6: Final answer
    x = 486.62

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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.