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Finding the Fourth Proportional to 448.13, 618.64 and 301.01

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Solution

The fourth proportional to 448.13, 618.64 and 301.01 is: 415.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.13 : 618.64 = 301.01 : x
  2. Step 2: Convert to fraction form
    448.13/618.64 = 301.01/x
  3. Step 3: Cross multiply
    448.13x = 618.64 × 301.01
  4. Step 4: Simplify right side
    448.13x = 186,212.98
  5. Step 5: Solve for x
    x = 186,212.98/448.13
  6. Step 6: Final answer
    x = 415.53

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