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Finding the Fourth Proportional to 295.50, 407.43 and 216.75

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Solution

The fourth proportional to 295.50, 407.43 and 216.75 is: 298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.50 : 407.43 = 216.75 : x
  2. Step 2: Convert to fraction form
    295.50/407.43 = 216.75/x
  3. Step 3: Cross multiply
    295.50x = 407.43 × 216.75
  4. Step 4: Simplify right side
    295.50x = 88,310.45
  5. Step 5: Solve for x
    x = 88,310.45/295.50
  6. Step 6: Final answer
    x = 298.85

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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.