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Finding the Fourth Proportional to 307.93, 425.26 and 259.19

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Solution

The fourth proportional to 307.93, 425.26 and 259.19 is: 357.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.93 : 425.26 = 259.19 : x
  2. Step 2: Convert to fraction form
    307.93/425.26 = 259.19/x
  3. Step 3: Cross multiply
    307.93x = 425.26 × 259.19
  4. Step 4: Simplify right side
    307.93x = 110,224.53
  5. Step 5: Solve for x
    x = 110,224.53/307.93
  6. Step 6: Final answer
    x = 357.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.