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Finding the Fourth Proportional to 571.24, 788.32 and 309.26

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Solution

The fourth proportional to 571.24, 788.32 and 309.26 is: 426.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.24 : 788.32 = 309.26 : x
  2. Step 2: Convert to fraction form
    571.24/788.32 = 309.26/x
  3. Step 3: Cross multiply
    571.24x = 788.32 × 309.26
  4. Step 4: Simplify right side
    571.24x = 243,794.65
  5. Step 5: Solve for x
    x = 243,794.65/571.24
  6. Step 6: Final answer
    x = 426.78

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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.