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Finding the Fourth Proportional to 475.28, 655.94 and 278.81

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Solution

The fourth proportional to 475.28, 655.94 and 278.81 is: 384.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.28 : 655.94 = 278.81 : x
  2. Step 2: Convert to fraction form
    475.28/655.94 = 278.81/x
  3. Step 3: Cross multiply
    475.28x = 655.94 × 278.81
  4. Step 4: Simplify right side
    475.28x = 182,879.35
  5. Step 5: Solve for x
    x = 182,879.35/475.28
  6. Step 6: Final answer
    x = 384.79

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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.