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Finding the Fourth Proportional to 346.82, 478.32 and 273.02

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Solution

The fourth proportional to 346.82, 478.32 and 273.02 is: 376.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.82 : 478.32 = 273.02 : x
  2. Step 2: Convert to fraction form
    346.82/478.32 = 273.02/x
  3. Step 3: Cross multiply
    346.82x = 478.32 × 273.02
  4. Step 4: Simplify right side
    346.82x = 130,590.93
  5. Step 5: Solve for x
    x = 130,590.93/346.82
  6. Step 6: Final answer
    x = 376.54

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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.