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Finding the Fourth Proportional to 275.15, 412.77 and 259.85

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Solution

The fourth proportional to 275.15, 412.77 and 259.85 is: 389.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.15 : 412.77 = 259.85 : x
  2. Step 2: Convert to fraction form
    275.15/412.77 = 259.85/x
  3. Step 3: Cross multiply
    275.15x = 412.77 × 259.85
  4. Step 4: Simplify right side
    275.15x = 107,258.28
  5. Step 5: Solve for x
    x = 107,258.28/275.15
  6. Step 6: Final answer
    x = 389.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.