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Finding the Fourth Proportional to 443.48, 612.24 and 277.84

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Solution

The fourth proportional to 443.48, 612.24 and 277.84 is: 383.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.48 : 612.24 = 277.84 : x
  2. Step 2: Convert to fraction form
    443.48/612.24 = 277.84/x
  3. Step 3: Cross multiply
    443.48x = 612.24 × 277.84
  4. Step 4: Simplify right side
    443.48x = 170,101.70
  5. Step 5: Solve for x
    x = 170,101.70/443.48
  6. Step 6: Final answer
    x = 383.56

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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.