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Finding the Fourth Proportional to 934.29, 1,401.12 and 285.12

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Solution

The fourth proportional to 934.29, 1,401.12 and 285.12 is: 427.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.29 : 1,401.12 = 285.12 : x
  2. Step 2: Convert to fraction form
    934.29/1,401.12 = 285.12/x
  3. Step 3: Cross multiply
    934.29x = 1,401.12 × 285.12
  4. Step 4: Simplify right side
    934.29x = 399,487.33
  5. Step 5: Solve for x
    x = 399,487.33/934.29
  6. Step 6: Final answer
    x = 427.58

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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.