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Finding the Fourth Proportional to 548.70, 823.38 and 305.40

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Solution

The fourth proportional to 548.70, 823.38 and 305.40 is: 458.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.70 : 823.38 = 305.40 : x
  2. Step 2: Convert to fraction form
    548.70/823.38 = 305.40/x
  3. Step 3: Cross multiply
    548.70x = 823.38 × 305.40
  4. Step 4: Simplify right side
    548.70x = 251,460.25
  5. Step 5: Solve for x
    x = 251,460.25/548.70
  6. Step 6: Final answer
    x = 458.28

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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.