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Finding the Fourth Proportional to 292.98, 403.94 and 214.41

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Solution

The fourth proportional to 292.98, 403.94 and 214.41 is: 295.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.98 : 403.94 = 214.41 : x
  2. Step 2: Convert to fraction form
    292.98/403.94 = 214.41/x
  3. Step 3: Cross multiply
    292.98x = 403.94 × 214.41
  4. Step 4: Simplify right side
    292.98x = 86,607.70
  5. Step 5: Solve for x
    x = 86,607.70/292.98
  6. Step 6: Final answer
    x = 295.61

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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.