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Finding the Fourth Proportional to 449.08, 619.94 and 299.95

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Solution

The fourth proportional to 449.08, 619.94 and 299.95 is: 414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.08 : 619.94 = 299.95 : x
  2. Step 2: Convert to fraction form
    449.08/619.94 = 299.95/x
  3. Step 3: Cross multiply
    449.08x = 619.94 × 299.95
  4. Step 4: Simplify right side
    449.08x = 185,951.00
  5. Step 5: Solve for x
    x = 185,951.00/449.08
  6. Step 6: Final answer
    x = 414.07

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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.