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Finding the Fourth Proportional to 448.48, 619.05 and 301.06

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Solution

The fourth proportional to 448.48, 619.05 and 301.06 is: 415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.48 : 619.05 = 301.06 : x
  2. Step 2: Convert to fraction form
    448.48/619.05 = 301.06/x
  3. Step 3: Cross multiply
    448.48x = 619.05 × 301.06
  4. Step 4: Simplify right side
    448.48x = 186,371.19
  5. Step 5: Solve for x
    x = 186,371.19/448.48
  6. Step 6: Final answer
    x = 415.56

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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.