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Finding the Fourth Proportional to 475.11, 655.53 and 288.62

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Solution

The fourth proportional to 475.11, 655.53 and 288.62 is: 398.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.11 : 655.53 = 288.62 : x
  2. Step 2: Convert to fraction form
    475.11/655.53 = 288.62/x
  3. Step 3: Cross multiply
    475.11x = 655.53 × 288.62
  4. Step 4: Simplify right side
    475.11x = 189,195.79
  5. Step 5: Solve for x
    x = 189,195.79/475.11
  6. Step 6: Final answer
    x = 398.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.