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Finding the Fourth Proportional to 546.58, 823.39 and 506.44

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Solution

The fourth proportional to 546.58, 823.39 and 506.44 is: 762.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.58 : 823.39 = 506.44 : x
  2. Step 2: Convert to fraction form
    546.58/823.39 = 506.44/x
  3. Step 3: Cross multiply
    546.58x = 823.39 × 506.44
  4. Step 4: Simplify right side
    546.58x = 416,997.63
  5. Step 5: Solve for x
    x = 416,997.63/546.58
  6. Step 6: Final answer
    x = 762.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.