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Finding the Fourth Proportional to 550.30, 824.78 and 257.72

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Solution

The fourth proportional to 550.30, 824.78 and 257.72 is: 386.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.30 : 824.78 = 257.72 : x
  2. Step 2: Convert to fraction form
    550.30/824.78 = 257.72/x
  3. Step 3: Cross multiply
    550.30x = 824.78 × 257.72
  4. Step 4: Simplify right side
    550.30x = 212,562.30
  5. Step 5: Solve for x
    x = 212,562.30/550.30
  6. Step 6: Final answer
    x = 386.27

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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.