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Finding the Fourth Proportional to 448.32, 672.66 and 204.90

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Solution

The fourth proportional to 448.32, 672.66 and 204.90 is: 307.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.32 : 672.66 = 204.90 : x
  2. Step 2: Convert to fraction form
    448.32/672.66 = 204.90/x
  3. Step 3: Cross multiply
    448.32x = 672.66 × 204.90
  4. Step 4: Simplify right side
    448.32x = 137,828.03
  5. Step 5: Solve for x
    x = 137,828.03/448.32
  6. Step 6: Final answer
    x = 307.43

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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.