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Finding the Fourth Proportional to 448.98, 619.49 and 262.49

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Solution

The fourth proportional to 448.98, 619.49 and 262.49 is: 362.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.98 : 619.49 = 262.49 : x
  2. Step 2: Convert to fraction form
    448.98/619.49 = 262.49/x
  3. Step 3: Cross multiply
    448.98x = 619.49 × 262.49
  4. Step 4: Simplify right side
    448.98x = 162,605.52
  5. Step 5: Solve for x
    x = 162,605.52/448.98
  6. Step 6: Final answer
    x = 362.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.