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Finding the Fourth Proportional to 448.84, 619.44 and 262.42

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Solution

The fourth proportional to 448.84, 619.44 and 262.42 is: 362.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.84 : 619.44 = 262.42 : x
  2. Step 2: Convert to fraction form
    448.84/619.44 = 262.42/x
  3. Step 3: Cross multiply
    448.84x = 619.44 × 262.42
  4. Step 4: Simplify right side
    448.84x = 162,553.44
  5. Step 5: Solve for x
    x = 162,553.44/448.84
  6. Step 6: Final answer
    x = 362.16

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Why These Related Problems?

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