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Finding the Fourth Proportional to 406.73, 558.58 and 341.12

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Solution

The fourth proportional to 406.73, 558.58 and 341.12 is: 468.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.73 : 558.58 = 341.12 : x
  2. Step 2: Convert to fraction form
    406.73/558.58 = 341.12/x
  3. Step 3: Cross multiply
    406.73x = 558.58 × 341.12
  4. Step 4: Simplify right side
    406.73x = 190,542.81
  5. Step 5: Solve for x
    x = 190,542.81/406.73
  6. Step 6: Final answer
    x = 468.47

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.