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Finding the Fourth Proportional to 544.96, 816.81 and 237.07

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Solution

The fourth proportional to 544.96, 816.81 and 237.07 is: 355.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.96 : 816.81 = 237.07 : x
  2. Step 2: Convert to fraction form
    544.96/816.81 = 237.07/x
  3. Step 3: Cross multiply
    544.96x = 816.81 × 237.07
  4. Step 4: Simplify right side
    544.96x = 193,641.15
  5. Step 5: Solve for x
    x = 193,641.15/544.96
  6. Step 6: Final answer
    x = 355.33

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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.