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Finding the Fourth Proportional to 935.81, 1,403.74 and 232.99

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Solution

The fourth proportional to 935.81, 1,403.74 and 232.99 is: 349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.81 : 1,403.74 = 232.99 : x
  2. Step 2: Convert to fraction form
    935.81/1,403.74 = 232.99/x
  3. Step 3: Cross multiply
    935.81x = 1,403.74 × 232.99
  4. Step 4: Simplify right side
    935.81x = 327,059.43
  5. Step 5: Solve for x
    x = 327,059.43/935.81
  6. Step 6: Final answer
    x = 349.49

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Why These Related Problems?

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