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Finding the Fourth Proportional to 449.08, 670.46 and 379.87

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Solution

The fourth proportional to 449.08, 670.46 and 379.87 is: 567.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.08 : 670.46 = 379.87 : x
  2. Step 2: Convert to fraction form
    449.08/670.46 = 379.87/x
  3. Step 3: Cross multiply
    449.08x = 670.46 × 379.87
  4. Step 4: Simplify right side
    449.08x = 254,684.06
  5. Step 5: Solve for x
    x = 254,684.06/449.08
  6. Step 6: Final answer
    x = 567.13

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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.