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Finding the Fourth Proportional to 295.45, 407.23 and 212.43

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Solution

The fourth proportional to 295.45, 407.23 and 212.43 is: 292.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.45 : 407.23 = 212.43 : x
  2. Step 2: Convert to fraction form
    295.45/407.23 = 212.43/x
  3. Step 3: Cross multiply
    295.45x = 407.23 × 212.43
  4. Step 4: Simplify right side
    295.45x = 86,507.87
  5. Step 5: Solve for x
    x = 86,507.87/295.45
  6. Step 6: Final answer
    x = 292.80

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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.