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Finding the Fourth Proportional to 448.41, 672.75 and 302.75

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Solution

The fourth proportional to 448.41, 672.75 and 302.75 is: 454.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.41 : 672.75 = 302.75 : x
  2. Step 2: Convert to fraction form
    448.41/672.75 = 302.75/x
  3. Step 3: Cross multiply
    448.41x = 672.75 × 302.75
  4. Step 4: Simplify right side
    448.41x = 203,675.06
  5. Step 5: Solve for x
    x = 203,675.06/448.41
  6. Step 6: Final answer
    x = 454.22

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Why These Related Problems?

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