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Finding the Fourth Proportional to 448.19, 617.92 and 385.89

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Solution

The fourth proportional to 448.19, 617.92 and 385.89 is: 532.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.19 : 617.92 = 385.89 : x
  2. Step 2: Convert to fraction form
    448.19/617.92 = 385.89/x
  3. Step 3: Cross multiply
    448.19x = 617.92 × 385.89
  4. Step 4: Simplify right side
    448.19x = 238,449.15
  5. Step 5: Solve for x
    x = 238,449.15/448.19
  6. Step 6: Final answer
    x = 532.03

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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.