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Finding the Fourth Proportional to 346.77, 478.08 and 287.54

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Solution

The fourth proportional to 346.77, 478.08 and 287.54 is: 396.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.77 : 478.08 = 287.54 : x
  2. Step 2: Convert to fraction form
    346.77/478.08 = 287.54/x
  3. Step 3: Cross multiply
    346.77x = 478.08 × 287.54
  4. Step 4: Simplify right side
    346.77x = 137,464.73
  5. Step 5: Solve for x
    x = 137,464.73/346.77
  6. Step 6: Final answer
    x = 396.41

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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.