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Finding the Fourth Proportional to 475.27, 655.62 and 288.65

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Solution

The fourth proportional to 475.27, 655.62 and 288.65 is: 398.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.27 : 655.62 = 288.65 : x
  2. Step 2: Convert to fraction form
    475.27/655.62 = 288.65/x
  3. Step 3: Cross multiply
    475.27x = 655.62 × 288.65
  4. Step 4: Simplify right side
    475.27x = 189,243.27
  5. Step 5: Solve for x
    x = 189,243.27/475.27
  6. Step 6: Final answer
    x = 398.18

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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.