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Finding the Fourth Proportional to 571.18, 788.23 and 309.20

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Solution

The fourth proportional to 571.18, 788.23 and 309.20 is: 426.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.18 : 788.23 = 309.20 : x
  2. Step 2: Convert to fraction form
    571.18/788.23 = 309.20/x
  3. Step 3: Cross multiply
    571.18x = 788.23 × 309.20
  4. Step 4: Simplify right side
    571.18x = 243,716.00
  5. Step 5: Solve for x
    x = 243,716.00/571.18
  6. Step 6: Final answer
    x = 426.69

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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.