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Finding the Fourth Proportional to 475.75, 713.26 and 259.03

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Solution

The fourth proportional to 475.75, 713.26 and 259.03 is: 388.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.75 : 713.26 = 259.03 : x
  2. Step 2: Convert to fraction form
    475.75/713.26 = 259.03/x
  3. Step 3: Cross multiply
    475.75x = 713.26 × 259.03
  4. Step 4: Simplify right side
    475.75x = 184,755.74
  5. Step 5: Solve for x
    x = 184,755.74/475.75
  6. Step 6: Final answer
    x = 388.35

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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.