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Finding the Fourth Proportional to 354.56, 489.36 and 214.64

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Solution

The fourth proportional to 354.56, 489.36 and 214.64 is: 296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.56 : 489.36 = 214.64 : x
  2. Step 2: Convert to fraction form
    354.56/489.36 = 214.64/x
  3. Step 3: Cross multiply
    354.56x = 489.36 × 214.64
  4. Step 4: Simplify right side
    354.56x = 105,036.23
  5. Step 5: Solve for x
    x = 105,036.23/354.56
  6. Step 6: Final answer
    x = 296.24

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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.