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Finding the Fourth Proportional to 448.35, 617.03 and 379.31

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Solution

The fourth proportional to 448.35, 617.03 and 379.31 is: 522.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.35 : 617.03 = 379.31 : x
  2. Step 2: Convert to fraction form
    448.35/617.03 = 379.31/x
  3. Step 3: Cross multiply
    448.35x = 617.03 × 379.31
  4. Step 4: Simplify right side
    448.35x = 234,047.69
  5. Step 5: Solve for x
    x = 234,047.69/448.35
  6. Step 6: Final answer
    x = 522.02

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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.