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Finding the Fourth Proportional to 449.44, 673.43 and 432.35

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Solution

The fourth proportional to 449.44, 673.43 and 432.35 is: 647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.44 : 673.43 = 432.35 : x
  2. Step 2: Convert to fraction form
    449.44/673.43 = 432.35/x
  3. Step 3: Cross multiply
    449.44x = 673.43 × 432.35
  4. Step 4: Simplify right side
    449.44x = 291,157.46
  5. Step 5: Solve for x
    x = 291,157.46/449.44
  6. Step 6: Final answer
    x = 647.82

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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.