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Finding the Fourth Proportional to 449.57, 673.83 and 398.31

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Solution

The fourth proportional to 449.57, 673.83 and 398.31 is: 597.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.57 : 673.83 = 398.31 : x
  2. Step 2: Convert to fraction form
    449.57/673.83 = 398.31/x
  3. Step 3: Cross multiply
    449.57x = 673.83 × 398.31
  4. Step 4: Simplify right side
    449.57x = 268,393.23
  5. Step 5: Solve for x
    x = 268,393.23/449.57
  6. Step 6: Final answer
    x = 597.00

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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.