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Finding the Fourth Proportional to 935.31, 1,402.96 and 286.04

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Solution

The fourth proportional to 935.31, 1,402.96 and 286.04 is: 429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.31 : 1,402.96 = 286.04 : x
  2. Step 2: Convert to fraction form
    935.31/1,402.96 = 286.04/x
  3. Step 3: Cross multiply
    935.31x = 1,402.96 × 286.04
  4. Step 4: Simplify right side
    935.31x = 401,295.66
  5. Step 5: Solve for x
    x = 401,295.66/935.31
  6. Step 6: Final answer
    x = 429.05

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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.