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Finding the Fourth Proportional to 630.86, 946.94 and 284.43

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Solution

The fourth proportional to 630.86, 946.94 and 284.43 is: 426.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.86 : 946.94 = 284.43 : x
  2. Step 2: Convert to fraction form
    630.86/946.94 = 284.43/x
  3. Step 3: Cross multiply
    630.86x = 946.94 × 284.43
  4. Step 4: Simplify right side
    630.86x = 269,336.55
  5. Step 5: Solve for x
    x = 269,336.55/630.86
  6. Step 6: Final answer
    x = 426.94

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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.