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Finding the Fourth Proportional to 548.81, 823.10 and 318.03

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Solution

The fourth proportional to 548.81, 823.10 and 318.03 is: 476.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.81 : 823.10 = 318.03 : x
  2. Step 2: Convert to fraction form
    548.81/823.10 = 318.03/x
  3. Step 3: Cross multiply
    548.81x = 823.10 × 318.03
  4. Step 4: Simplify right side
    548.81x = 261,772.76
  5. Step 5: Solve for x
    x = 261,772.76/548.81
  6. Step 6: Final answer
    x = 476.98

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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.