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Finding the Fourth Proportional to 550.02, 824.36 and 257.13

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Solution

The fourth proportional to 550.02, 824.36 and 257.13 is: 385.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.02 : 824.36 = 257.13 : x
  2. Step 2: Convert to fraction form
    550.02/824.36 = 257.13/x
  3. Step 3: Cross multiply
    550.02x = 824.36 × 257.13
  4. Step 4: Simplify right side
    550.02x = 211,963.57
  5. Step 5: Solve for x
    x = 211,963.57/550.02
  6. Step 6: Final answer
    x = 385.37

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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.