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Finding the Fourth Proportional to 448.26, 618.89 and 301.24

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Solution

The fourth proportional to 448.26, 618.89 and 301.24 is: 415.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.26 : 618.89 = 301.24 : x
  2. Step 2: Convert to fraction form
    448.26/618.89 = 301.24/x
  3. Step 3: Cross multiply
    448.26x = 618.89 × 301.24
  4. Step 4: Simplify right side
    448.26x = 186,437.13
  5. Step 5: Solve for x
    x = 186,437.13/448.26
  6. Step 6: Final answer
    x = 415.91

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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.