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Finding the Fourth Proportional to 465.11, 641.43 and 278.54

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Solution

The fourth proportional to 465.11, 641.43 and 278.54 is: 384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.11 : 641.43 = 278.54 : x
  2. Step 2: Convert to fraction form
    465.11/641.43 = 278.54/x
  3. Step 3: Cross multiply
    465.11x = 641.43 × 278.54
  4. Step 4: Simplify right side
    465.11x = 178,660.71
  5. Step 5: Solve for x
    x = 178,660.71/465.11
  6. Step 6: Final answer
    x = 384.13

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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.