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Finding the Fourth Proportional to 449.44, 670.95 and 380.50

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Solution

The fourth proportional to 449.44, 670.95 and 380.50 is: 568.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.44 : 670.95 = 380.50 : x
  2. Step 2: Convert to fraction form
    449.44/670.95 = 380.50/x
  3. Step 3: Cross multiply
    449.44x = 670.95 × 380.50
  4. Step 4: Simplify right side
    449.44x = 255,296.48
  5. Step 5: Solve for x
    x = 255,296.48/449.44
  6. Step 6: Final answer
    x = 568.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.