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Finding the Fourth Proportional to 443.78, 612.33 and 278.06

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Solution

The fourth proportional to 443.78, 612.33 and 278.06 is: 383.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.78 : 612.33 = 278.06 : x
  2. Step 2: Convert to fraction form
    443.78/612.33 = 278.06/x
  3. Step 3: Cross multiply
    443.78x = 612.33 × 278.06
  4. Step 4: Simplify right side
    443.78x = 170,264.48
  5. Step 5: Solve for x
    x = 170,264.48/443.78
  6. Step 6: Final answer
    x = 383.67

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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.