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Finding the Fourth Proportional to 504.05, 755.01 and 381.93

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Solution

The fourth proportional to 504.05, 755.01 and 381.93 is: 572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.05 : 755.01 = 381.93 : x
  2. Step 2: Convert to fraction form
    504.05/755.01 = 381.93/x
  3. Step 3: Cross multiply
    504.05x = 755.01 × 381.93
  4. Step 4: Simplify right side
    504.05x = 288,360.97
  5. Step 5: Solve for x
    x = 288,360.97/504.05
  6. Step 6: Final answer
    x = 572.09

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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.