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Finding the Fourth Proportional to 549.66, 823.25 and 506.97

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Solution

The fourth proportional to 549.66, 823.25 and 506.97 is: 759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.66 : 823.25 = 506.97 : x
  2. Step 2: Convert to fraction form
    549.66/823.25 = 506.97/x
  3. Step 3: Cross multiply
    549.66x = 823.25 × 506.97
  4. Step 4: Simplify right side
    549.66x = 417,362.58
  5. Step 5: Solve for x
    x = 417,362.58/549.66
  6. Step 6: Final answer
    x = 759.32

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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.