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Finding the Fourth Proportional to 448.03, 617.73 and 282.19

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Solution

The fourth proportional to 448.03, 617.73 and 282.19 is: 389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.03 : 617.73 = 282.19 : x
  2. Step 2: Convert to fraction form
    448.03/617.73 = 282.19/x
  3. Step 3: Cross multiply
    448.03x = 617.73 × 282.19
  4. Step 4: Simplify right side
    448.03x = 174,317.23
  5. Step 5: Solve for x
    x = 174,317.23/448.03
  6. Step 6: Final answer
    x = 389.07

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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.