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Finding the Fourth Proportional to 449.02, 619.16 and 299.60

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Solution

The fourth proportional to 449.02, 619.16 and 299.60 is: 413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.02 : 619.16 = 299.60 : x
  2. Step 2: Convert to fraction form
    449.02/619.16 = 299.60/x
  3. Step 3: Cross multiply
    449.02x = 619.16 × 299.60
  4. Step 4: Simplify right side
    449.02x = 185,500.34
  5. Step 5: Solve for x
    x = 185,500.34/449.02
  6. Step 6: Final answer
    x = 413.12

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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.