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Finding the Fourth Proportional to 631.86, 942.85 and 500.37

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Solution

The fourth proportional to 631.86, 942.85 and 500.37 is: 746.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.86 : 942.85 = 500.37 : x
  2. Step 2: Convert to fraction form
    631.86/942.85 = 500.37/x
  3. Step 3: Cross multiply
    631.86x = 942.85 × 500.37
  4. Step 4: Simplify right side
    631.86x = 471,766.64
  5. Step 5: Solve for x
    x = 471,766.64/631.86
  6. Step 6: Final answer
    x = 746.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.