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Finding the Fourth Proportional to 581.86, 871.56 and 338.24

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Solution

The fourth proportional to 581.86, 871.56 and 338.24 is: 506.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.86 : 871.56 = 338.24 : x
  2. Step 2: Convert to fraction form
    581.86/871.56 = 338.24/x
  3. Step 3: Cross multiply
    581.86x = 871.56 × 338.24
  4. Step 4: Simplify right side
    581.86x = 294,796.45
  5. Step 5: Solve for x
    x = 294,796.45/581.86
  6. Step 6: Final answer
    x = 506.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.