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Finding the Fourth Proportional to 475.13, 655.68 and 278.78

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Solution

The fourth proportional to 475.13, 655.68 and 278.78 is: 384.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.13 : 655.68 = 278.78 : x
  2. Step 2: Convert to fraction form
    475.13/655.68 = 278.78/x
  3. Step 3: Cross multiply
    475.13x = 655.68 × 278.78
  4. Step 4: Simplify right side
    475.13x = 182,790.47
  5. Step 5: Solve for x
    x = 182,790.47/475.13
  6. Step 6: Final answer
    x = 384.72

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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.