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Finding the Fourth Proportional to 465.36, 645.27 and 449.79

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Solution

The fourth proportional to 465.36, 645.27 and 449.79 is: 623.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.36 : 645.27 = 449.79 : x
  2. Step 2: Convert to fraction form
    465.36/645.27 = 449.79/x
  3. Step 3: Cross multiply
    465.36x = 645.27 × 449.79
  4. Step 4: Simplify right side
    465.36x = 290,235.06
  5. Step 5: Solve for x
    x = 290,235.06/465.36
  6. Step 6: Final answer
    x = 623.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.