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Finding the Fourth Proportional to 350.06, 482.94 and 284.45

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Solution

The fourth proportional to 350.06, 482.94 and 284.45 is: 392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.06 : 482.94 = 284.45 : x
  2. Step 2: Convert to fraction form
    350.06/482.94 = 284.45/x
  3. Step 3: Cross multiply
    350.06x = 482.94 × 284.45
  4. Step 4: Simplify right side
    350.06x = 137,369.87
  5. Step 5: Solve for x
    x = 137,369.87/350.06
  6. Step 6: Final answer
    x = 392.42

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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.