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Finding the Fourth Proportional to 475.10, 655.65 and 265.27

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Solution

The fourth proportional to 475.10, 655.65 and 265.27 is: 366.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.10 : 655.65 = 265.27 : x
  2. Step 2: Convert to fraction form
    475.10/655.65 = 265.27/x
  3. Step 3: Cross multiply
    475.10x = 655.65 × 265.27
  4. Step 4: Simplify right side
    475.10x = 173,923.87
  5. Step 5: Solve for x
    x = 173,923.87/475.10
  6. Step 6: Final answer
    x = 366.08

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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.