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Finding the Fourth Proportional to 443.77, 612.78 and 423.97

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Solution

The fourth proportional to 443.77, 612.78 and 423.97 is: 585.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.77 : 612.78 = 423.97 : x
  2. Step 2: Convert to fraction form
    443.77/612.78 = 423.97/x
  3. Step 3: Cross multiply
    443.77x = 612.78 × 423.97
  4. Step 4: Simplify right side
    443.77x = 259,800.34
  5. Step 5: Solve for x
    x = 259,800.34/443.77
  6. Step 6: Final answer
    x = 585.44

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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.