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Finding the Fourth Proportional to 935.70, 1,403.22 and 286.20

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Solution

The fourth proportional to 935.70, 1,403.22 and 286.20 is: 429.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.70 : 1,403.22 = 286.20 : x
  2. Step 2: Convert to fraction form
    935.70/1,403.22 = 286.20/x
  3. Step 3: Cross multiply
    935.70x = 1,403.22 × 286.20
  4. Step 4: Simplify right side
    935.70x = 401,601.56
  5. Step 5: Solve for x
    x = 401,601.56/935.70
  6. Step 6: Final answer
    x = 429.20

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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.