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Finding the Fourth Proportional to 935.29, 1,402.89 and 286

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Solution

The fourth proportional to 935.29, 1,402.89 and 286 is: 428.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.29 : 1,402.89 = 286 : x
  2. Step 2: Convert to fraction form
    935.29/1,402.89 = 286/x
  3. Step 3: Cross multiply
    935.29x = 1,402.89 × 286
  4. Step 4: Simplify right side
    935.29x = 401,226.54
  5. Step 5: Solve for x
    x = 401,226.54/935.29
  6. Step 6: Final answer
    x = 428.99

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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.