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Finding the Fourth Proportional to 344.05, 475.32 and 257.83

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Solution

The fourth proportional to 344.05, 475.32 and 257.83 is: 356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.05 : 475.32 = 257.83 : x
  2. Step 2: Convert to fraction form
    344.05/475.32 = 257.83/x
  3. Step 3: Cross multiply
    344.05x = 475.32 × 257.83
  4. Step 4: Simplify right side
    344.05x = 122,551.76
  5. Step 5: Solve for x
    x = 122,551.76/344.05
  6. Step 6: Final answer
    x = 356.20

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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.