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Finding the Fourth Proportional to 934.41, 1,401.62 and 285.14

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Solution

The fourth proportional to 934.41, 1,401.62 and 285.14 is: 427.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.41 : 1,401.62 = 285.14 : x
  2. Step 2: Convert to fraction form
    934.41/1,401.62 = 285.14/x
  3. Step 3: Cross multiply
    934.41x = 1,401.62 × 285.14
  4. Step 4: Simplify right side
    934.41x = 399,660.01
  5. Step 5: Solve for x
    x = 399,660.01/934.41
  6. Step 6: Final answer
    x = 427.71

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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.