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Finding the Fourth Proportional to 504.06, 755.36 and 349.36

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Solution

The fourth proportional to 504.06, 755.36 and 349.36 is: 523.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.06 : 755.36 = 349.36 : x
  2. Step 2: Convert to fraction form
    504.06/755.36 = 349.36/x
  3. Step 3: Cross multiply
    504.06x = 755.36 × 349.36
  4. Step 4: Simplify right side
    504.06x = 263,892.57
  5. Step 5: Solve for x
    x = 263,892.57/504.06
  6. Step 6: Final answer
    x = 523.53

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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.