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Finding the Fourth Proportional to 548.79, 823.14 and 275.07

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Solution

The fourth proportional to 548.79, 823.14 and 275.07 is: 412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.79 : 823.14 = 275.07 : x
  2. Step 2: Convert to fraction form
    548.79/823.14 = 275.07/x
  3. Step 3: Cross multiply
    548.79x = 823.14 × 275.07
  4. Step 4: Simplify right side
    548.79x = 226,419.74
  5. Step 5: Solve for x
    x = 226,419.74/548.79
  6. Step 6: Final answer
    x = 412.58

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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.