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Finding the Fourth Proportional to 475.22, 655.49 and 278.60

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Solution

The fourth proportional to 475.22, 655.49 and 278.60 is: 384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.22 : 655.49 = 278.60 : x
  2. Step 2: Convert to fraction form
    475.22/655.49 = 278.60/x
  3. Step 3: Cross multiply
    475.22x = 655.49 × 278.60
  4. Step 4: Simplify right side
    475.22x = 182,616.93
  5. Step 5: Solve for x
    x = 182,616.93/475.22
  6. Step 6: Final answer
    x = 384.28

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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.