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Finding the Fourth Proportional to 475.05, 655.52 and 275.94

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Solution

The fourth proportional to 475.05, 655.52 and 275.94 is: 380.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.05 : 655.52 = 275.94 : x
  2. Step 2: Convert to fraction form
    475.05/655.52 = 275.94/x
  3. Step 3: Cross multiply
    475.05x = 655.52 × 275.94
  4. Step 4: Simplify right side
    475.05x = 180,882.81
  5. Step 5: Solve for x
    x = 180,882.81/475.05
  6. Step 6: Final answer
    x = 380.77

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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.