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Finding the Fourth Proportional to 448.02, 672 and 204.50

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Solution

The fourth proportional to 448.02, 672 and 204.50 is: 306.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.02 : 672 = 204.50 : x
  2. Step 2: Convert to fraction form
    448.02/672 = 204.50/x
  3. Step 3: Cross multiply
    448.02x = 672 × 204.50
  4. Step 4: Simplify right side
    448.02x = 137,424
  5. Step 5: Solve for x
    x = 137,424/448.02
  6. Step 6: Final answer
    x = 306.74

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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.