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Finding the Fourth Proportional to 475.33, 712.91 and 150.77

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Solution

The fourth proportional to 475.33, 712.91 and 150.77 is: 226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.33 : 712.91 = 150.77 : x
  2. Step 2: Convert to fraction form
    475.33/712.91 = 150.77/x
  3. Step 3: Cross multiply
    475.33x = 712.91 × 150.77
  4. Step 4: Simplify right side
    475.33x = 107,485.44
  5. Step 5: Solve for x
    x = 107,485.44/475.33
  6. Step 6: Final answer
    x = 226.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.