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Finding the Fourth Proportional to 448.82, 619.38 and 262.33

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Solution

The fourth proportional to 448.82, 619.38 and 262.33 is: 362.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.82 : 619.38 = 262.33 : x
  2. Step 2: Convert to fraction form
    448.82/619.38 = 262.33/x
  3. Step 3: Cross multiply
    448.82x = 619.38 × 262.33
  4. Step 4: Simplify right side
    448.82x = 162,478.86
  5. Step 5: Solve for x
    x = 162,478.86/448.82
  6. Step 6: Final answer
    x = 362.01

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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.