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Finding the Fourth Proportional to 381.22, 529.74 and 377.26

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Solution

The fourth proportional to 381.22, 529.74 and 377.26 is: 524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.22 : 529.74 = 377.26 : x
  2. Step 2: Convert to fraction form
    381.22/529.74 = 377.26/x
  3. Step 3: Cross multiply
    381.22x = 529.74 × 377.26
  4. Step 4: Simplify right side
    381.22x = 199,849.71
  5. Step 5: Solve for x
    x = 199,849.71/381.22
  6. Step 6: Final answer
    x = 524.24

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.