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Finding the Fourth Proportional to 448.51, 619.23 and 324.58

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Solution

The fourth proportional to 448.51, 619.23 and 324.58 is: 448.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.51 : 619.23 = 324.58 : x
  2. Step 2: Convert to fraction form
    448.51/619.23 = 324.58/x
  3. Step 3: Cross multiply
    448.51x = 619.23 × 324.58
  4. Step 4: Simplify right side
    448.51x = 200,989.67
  5. Step 5: Solve for x
    x = 200,989.67/448.51
  6. Step 6: Final answer
    x = 448.13

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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.