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Finding the Fourth Proportional to 342.36, 511.62 and 276.75

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Solution

The fourth proportional to 342.36, 511.62 and 276.75 is: 413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.36 : 511.62 = 276.75 : x
  2. Step 2: Convert to fraction form
    342.36/511.62 = 276.75/x
  3. Step 3: Cross multiply
    342.36x = 511.62 × 276.75
  4. Step 4: Simplify right side
    342.36x = 141,590.84
  5. Step 5: Solve for x
    x = 141,590.84/342.36
  6. Step 6: Final answer
    x = 413.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.