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Finding the Fourth Proportional to 544.63, 817.01 and 174.35

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Solution

The fourth proportional to 544.63, 817.01 and 174.35 is: 261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.63 : 817.01 = 174.35 : x
  2. Step 2: Convert to fraction form
    544.63/817.01 = 174.35/x
  3. Step 3: Cross multiply
    544.63x = 817.01 × 174.35
  4. Step 4: Simplify right side
    544.63x = 142,440.74
  5. Step 5: Solve for x
    x = 142,440.74/544.63
  6. Step 6: Final answer
    x = 261.54

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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.