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Finding the Fourth Proportional to 523.11, 785.48 and 475.32

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Solution

The fourth proportional to 523.11, 785.48 and 475.32 is: 713.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.11 : 785.48 = 475.32 : x
  2. Step 2: Convert to fraction form
    523.11/785.48 = 475.32/x
  3. Step 3: Cross multiply
    523.11x = 785.48 × 475.32
  4. Step 4: Simplify right side
    523.11x = 373,351.98
  5. Step 5: Solve for x
    x = 373,351.98/523.11
  6. Step 6: Final answer
    x = 713.72

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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.