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Finding the Fourth Proportional to 449.37, 673.63 and 312.48

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Solution

The fourth proportional to 449.37, 673.63 and 312.48 is: 468.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.37 : 673.63 = 312.48 : x
  2. Step 2: Convert to fraction form
    449.37/673.63 = 312.48/x
  3. Step 3: Cross multiply
    449.37x = 673.63 × 312.48
  4. Step 4: Simplify right side
    449.37x = 210,495.90
  5. Step 5: Solve for x
    x = 210,495.90/449.37
  6. Step 6: Final answer
    x = 468.42

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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.