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Finding the Fourth Proportional to 448.38, 618.53 and 301.06

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Solution

The fourth proportional to 448.38, 618.53 and 301.06 is: 415.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.38 : 618.53 = 301.06 : x
  2. Step 2: Convert to fraction form
    448.38/618.53 = 301.06/x
  3. Step 3: Cross multiply
    448.38x = 618.53 × 301.06
  4. Step 4: Simplify right side
    448.38x = 186,213.14
  5. Step 5: Solve for x
    x = 186,213.14/448.38
  6. Step 6: Final answer
    x = 415.31

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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.