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Finding the Fourth Proportional to 631.21, 871.16 and 369.23

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Solution

The fourth proportional to 631.21, 871.16 and 369.23 is: 509.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.21 : 871.16 = 369.23 : x
  2. Step 2: Convert to fraction form
    631.21/871.16 = 369.23/x
  3. Step 3: Cross multiply
    631.21x = 871.16 × 369.23
  4. Step 4: Simplify right side
    631.21x = 321,652.20
  5. Step 5: Solve for x
    x = 321,652.20/631.21
  6. Step 6: Final answer
    x = 509.58

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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.