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Finding the Fourth Proportional to 541.06, 809.76 and 324.79

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Solution

The fourth proportional to 541.06, 809.76 and 324.79 is: 486.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.06 : 809.76 = 324.79 : x
  2. Step 2: Convert to fraction form
    541.06/809.76 = 324.79/x
  3. Step 3: Cross multiply
    541.06x = 809.76 × 324.79
  4. Step 4: Simplify right side
    541.06x = 263,001.95
  5. Step 5: Solve for x
    x = 263,001.95/541.06
  6. Step 6: Final answer
    x = 486.09

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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.