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Finding the Fourth Proportional to 504.00, 755.82 and 174.85

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Solution

The fourth proportional to 504.00, 755.82 and 174.85 is: 262.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.00 : 755.82 = 174.85 : x
  2. Step 2: Convert to fraction form
    504.00/755.82 = 174.85/x
  3. Step 3: Cross multiply
    504.00x = 755.82 × 174.85
  4. Step 4: Simplify right side
    504.00x = 132,150.47
  5. Step 5: Solve for x
    x = 132,150.47/504.00
  6. Step 6: Final answer
    x = 262.21

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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.