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Finding the Fourth Proportional to 631.94, 871.44 and 383.22

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Solution

The fourth proportional to 631.94, 871.44 and 383.22 is: 528.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.94 : 871.44 = 383.22 : x
  2. Step 2: Convert to fraction form
    631.94/871.44 = 383.22/x
  3. Step 3: Cross multiply
    631.94x = 871.44 × 383.22
  4. Step 4: Simplify right side
    631.94x = 333,953.24
  5. Step 5: Solve for x
    x = 333,953.24/631.94
  6. Step 6: Final answer
    x = 528.46

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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.