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Finding the Fourth Proportional to 934.97, 1,402.65 and 285.68

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Solution

The fourth proportional to 934.97, 1,402.65 and 285.68 is: 428.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.97 : 1,402.65 = 285.68 : x
  2. Step 2: Convert to fraction form
    934.97/1,402.65 = 285.68/x
  3. Step 3: Cross multiply
    934.97x = 1,402.65 × 285.68
  4. Step 4: Simplify right side
    934.97x = 400,712.56
  5. Step 5: Solve for x
    x = 400,712.56/934.97
  6. Step 6: Final answer
    x = 428.59

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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.