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Finding the Fourth Proportional to 443.62, 612.53 and 269.20

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Solution

The fourth proportional to 443.62, 612.53 and 269.20 is: 371.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.62 : 612.53 = 269.20 : x
  2. Step 2: Convert to fraction form
    443.62/612.53 = 269.20/x
  3. Step 3: Cross multiply
    443.62x = 612.53 × 269.20
  4. Step 4: Simplify right side
    443.62x = 164,893.08
  5. Step 5: Solve for x
    x = 164,893.08/443.62
  6. Step 6: Final answer
    x = 371.70

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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.