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Finding the Fourth Proportional to 934.71, 1,401.93 and 285.27

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Solution

The fourth proportional to 934.71, 1,401.93 and 285.27 is: 427.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.71 : 1,401.93 = 285.27 : x
  2. Step 2: Convert to fraction form
    934.71/1,401.93 = 285.27/x
  3. Step 3: Cross multiply
    934.71x = 1,401.93 × 285.27
  4. Step 4: Simplify right side
    934.71x = 399,928.57
  5. Step 5: Solve for x
    x = 399,928.57/934.71
  6. Step 6: Final answer
    x = 427.86

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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.