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Finding the Fourth Proportional to 541.68, 811.24 and 324.88

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Solution

The fourth proportional to 541.68, 811.24 and 324.88 is: 486.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.68 : 811.24 = 324.88 : x
  2. Step 2: Convert to fraction form
    541.68/811.24 = 324.88/x
  3. Step 3: Cross multiply
    541.68x = 811.24 × 324.88
  4. Step 4: Simplify right side
    541.68x = 263,555.65
  5. Step 5: Solve for x
    x = 263,555.65/541.68
  6. Step 6: Final answer
    x = 486.55

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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.