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Finding the Fourth Proportional to 346.15, 477.62 and 206.32

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Solution

The fourth proportional to 346.15, 477.62 and 206.32 is: 284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.15 : 477.62 = 206.32 : x
  2. Step 2: Convert to fraction form
    346.15/477.62 = 206.32/x
  3. Step 3: Cross multiply
    346.15x = 477.62 × 206.32
  4. Step 4: Simplify right side
    346.15x = 98,542.56
  5. Step 5: Solve for x
    x = 98,542.56/346.15
  6. Step 6: Final answer
    x = 284.68

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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.