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Finding the Fourth Proportional to 350.02, 482.96 and 284.41

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Solution

The fourth proportional to 350.02, 482.96 and 284.41 is: 392.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.02 : 482.96 = 284.41 : x
  2. Step 2: Convert to fraction form
    350.02/482.96 = 284.41/x
  3. Step 3: Cross multiply
    350.02x = 482.96 × 284.41
  4. Step 4: Simplify right side
    350.02x = 137,359.97
  5. Step 5: Solve for x
    x = 137,359.97/350.02
  6. Step 6: Final answer
    x = 392.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.