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Finding the Fourth Proportional to 356.23, 491.60 and 216.31

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Solution

The fourth proportional to 356.23, 491.60 and 216.31 is: 298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.23 : 491.60 = 216.31 : x
  2. Step 2: Convert to fraction form
    356.23/491.60 = 216.31/x
  3. Step 3: Cross multiply
    356.23x = 491.60 × 216.31
  4. Step 4: Simplify right side
    356.23x = 106,338.34
  5. Step 5: Solve for x
    x = 106,338.34/356.23
  6. Step 6: Final answer
    x = 298.51

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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.