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Finding the Fourth Proportional to 448.14, 672.21 and 418.98

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Solution

The fourth proportional to 448.14, 672.21 and 418.98 is: 628.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.14 : 672.21 = 418.98 : x
  2. Step 2: Convert to fraction form
    448.14/672.21 = 418.98/x
  3. Step 3: Cross multiply
    448.14x = 672.21 × 418.98
  4. Step 4: Simplify right side
    448.14x = 281,642.55
  5. Step 5: Solve for x
    x = 281,642.55/448.14
  6. Step 6: Final answer
    x = 628.47

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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.