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Finding the Fourth Proportional to 379.22, 523.06 and 317.05

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Solution

The fourth proportional to 379.22, 523.06 and 317.05 is: 437.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.22 : 523.06 = 317.05 : x
  2. Step 2: Convert to fraction form
    379.22/523.06 = 317.05/x
  3. Step 3: Cross multiply
    379.22x = 523.06 × 317.05
  4. Step 4: Simplify right side
    379.22x = 165,834.07
  5. Step 5: Solve for x
    x = 165,834.07/379.22
  6. Step 6: Final answer
    x = 437.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.