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Finding the Fourth Proportional to 503.76, 755.46 and 174.66

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Solution

The fourth proportional to 503.76, 755.46 and 174.66 is: 261.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.76 : 755.46 = 174.66 : x
  2. Step 2: Convert to fraction form
    503.76/755.46 = 174.66/x
  3. Step 3: Cross multiply
    503.76x = 755.46 × 174.66
  4. Step 4: Simplify right side
    503.76x = 131,948.64
  5. Step 5: Solve for x
    x = 131,948.64/503.76
  6. Step 6: Final answer
    x = 261.93

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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.