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Finding the Fourth Proportional to 548.60, 822.98 and 256.39

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Solution

The fourth proportional to 548.60, 822.98 and 256.39 is: 384.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.60 : 822.98 = 256.39 : x
  2. Step 2: Convert to fraction form
    548.60/822.98 = 256.39/x
  3. Step 3: Cross multiply
    548.60x = 822.98 × 256.39
  4. Step 4: Simplify right side
    548.60x = 211,002.43
  5. Step 5: Solve for x
    x = 211,002.43/548.60
  6. Step 6: Final answer
    x = 384.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.