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Finding the Fourth Proportional to 935.38, 1,403.12 and 286.12

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Solution

The fourth proportional to 935.38, 1,403.12 and 286.12 is: 429.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.38 : 1,403.12 = 286.12 : x
  2. Step 2: Convert to fraction form
    935.38/1,403.12 = 286.12/x
  3. Step 3: Cross multiply
    935.38x = 1,403.12 × 286.12
  4. Step 4: Simplify right side
    935.38x = 401,453.32
  5. Step 5: Solve for x
    x = 401,453.32/935.38
  6. Step 6: Final answer
    x = 429.19

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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.