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Finding the Fourth Proportional to 448.25, 672.05 and 302.03

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Solution

The fourth proportional to 448.25, 672.05 and 302.03 is: 452.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.25 : 672.05 = 302.03 : x
  2. Step 2: Convert to fraction form
    448.25/672.05 = 302.03/x
  3. Step 3: Cross multiply
    448.25x = 672.05 × 302.03
  4. Step 4: Simplify right side
    448.25x = 202,977.75
  5. Step 5: Solve for x
    x = 202,977.75/448.25
  6. Step 6: Final answer
    x = 452.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.