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Finding the Fourth Proportional to 550.02, 823.93 and 257.12

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Solution

The fourth proportional to 550.02, 823.93 and 257.12 is: 385.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.02 : 823.93 = 257.12 : x
  2. Step 2: Convert to fraction form
    550.02/823.93 = 257.12/x
  3. Step 3: Cross multiply
    550.02x = 823.93 × 257.12
  4. Step 4: Simplify right side
    550.02x = 211,843.48
  5. Step 5: Solve for x
    x = 211,843.48/550.02
  6. Step 6: Final answer
    x = 385.16

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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.