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Finding the Fourth Proportional to 548.36, 821.78 and 305

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Solution

The fourth proportional to 548.36, 821.78 and 305 is: 457.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.36 : 821.78 = 305 : x
  2. Step 2: Convert to fraction form
    548.36/821.78 = 305/x
  3. Step 3: Cross multiply
    548.36x = 821.78 × 305
  4. Step 4: Simplify right side
    548.36x = 250,642.90
  5. Step 5: Solve for x
    x = 250,642.90/548.36
  6. Step 6: Final answer
    x = 457.08

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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.