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Finding the Fourth Proportional to 934.02, 1,400.62 and 284.60

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Solution

The fourth proportional to 934.02, 1,400.62 and 284.60 is: 426.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.02 : 1,400.62 = 284.60 : x
  2. Step 2: Convert to fraction form
    934.02/1,400.62 = 284.60/x
  3. Step 3: Cross multiply
    934.02x = 1,400.62 × 284.60
  4. Step 4: Simplify right side
    934.02x = 398,616.45
  5. Step 5: Solve for x
    x = 398,616.45/934.02
  6. Step 6: Final answer
    x = 426.78

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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.