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Finding the Fourth Proportional to 448.45, 618.62 and 337.73

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Solution

The fourth proportional to 448.45, 618.62 and 337.73 is: 465.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.45 : 618.62 = 337.73 : x
  2. Step 2: Convert to fraction form
    448.45/618.62 = 337.73/x
  3. Step 3: Cross multiply
    448.45x = 618.62 × 337.73
  4. Step 4: Simplify right side
    448.45x = 208,927.13
  5. Step 5: Solve for x
    x = 208,927.13/448.45
  6. Step 6: Final answer
    x = 465.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.