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Finding the Fourth Proportional to 548.60, 755.73 and 469.66

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Solution

The fourth proportional to 548.60, 755.73 and 469.66 is: 646.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.60 : 755.73 = 469.66 : x
  2. Step 2: Convert to fraction form
    548.60/755.73 = 469.66/x
  3. Step 3: Cross multiply
    548.60x = 755.73 × 469.66
  4. Step 4: Simplify right side
    548.60x = 354,932.37
  5. Step 5: Solve for x
    x = 354,932.37/548.60
  6. Step 6: Final answer
    x = 646.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.