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Finding the Fourth Proportional to 631.06, 944.79 and 415.06

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Solution

The fourth proportional to 631.06, 944.79 and 415.06 is: 621.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.06 : 944.79 = 415.06 : x
  2. Step 2: Convert to fraction form
    631.06/944.79 = 415.06/x
  3. Step 3: Cross multiply
    631.06x = 944.79 × 415.06
  4. Step 4: Simplify right side
    631.06x = 392,144.54
  5. Step 5: Solve for x
    x = 392,144.54/631.06
  6. Step 6: Final answer
    x = 621.41

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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.