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Finding the Fourth Proportional to 476.58, 658.31 and 398.17

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Solution

The fourth proportional to 476.58, 658.31 and 398.17 is: 550.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.58 : 658.31 = 398.17 : x
  2. Step 2: Convert to fraction form
    476.58/658.31 = 398.17/x
  3. Step 3: Cross multiply
    476.58x = 658.31 × 398.17
  4. Step 4: Simplify right side
    476.58x = 262,119.29
  5. Step 5: Solve for x
    x = 262,119.29/476.58
  6. Step 6: Final answer
    x = 550.00

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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.