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Finding the Fourth Proportional to 935.59, 1,403.34 and 286.33

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Solution

The fourth proportional to 935.59, 1,403.34 and 286.33 is: 429.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.59 : 1,403.34 = 286.33 : x
  2. Step 2: Convert to fraction form
    935.59/1,403.34 = 286.33/x
  3. Step 3: Cross multiply
    935.59x = 1,403.34 × 286.33
  4. Step 4: Simplify right side
    935.59x = 401,813.76
  5. Step 5: Solve for x
    x = 401,813.76/935.59
  6. Step 6: Final answer
    x = 429.48

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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.