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Finding the Fourth Proportional to 541.51, 811.18 and 324.97

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Solution

The fourth proportional to 541.51, 811.18 and 324.97 is: 486.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.51 : 811.18 = 324.97 : x
  2. Step 2: Convert to fraction form
    541.51/811.18 = 324.97/x
  3. Step 3: Cross multiply
    541.51x = 811.18 × 324.97
  4. Step 4: Simplify right side
    541.51x = 263,609.16
  5. Step 5: Solve for x
    x = 263,609.16/541.51
  6. Step 6: Final answer
    x = 486.80

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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.