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Finding the Fourth Proportional to 630.86, 946.23 and 219.87

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Solution

The fourth proportional to 630.86, 946.23 and 219.87 is: 329.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.86 : 946.23 = 219.87 : x
  2. Step 2: Convert to fraction form
    630.86/946.23 = 219.87/x
  3. Step 3: Cross multiply
    630.86x = 946.23 × 219.87
  4. Step 4: Simplify right side
    630.86x = 208,047.59
  5. Step 5: Solve for x
    x = 208,047.59/630.86
  6. Step 6: Final answer
    x = 329.79

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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.