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Finding the Fourth Proportional to 295.09, 407.27 and 212.47

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Solution

The fourth proportional to 295.09, 407.27 and 212.47 is: 293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.09 : 407.27 = 212.47 : x
  2. Step 2: Convert to fraction form
    295.09/407.27 = 212.47/x
  3. Step 3: Cross multiply
    295.09x = 407.27 × 212.47
  4. Step 4: Simplify right side
    295.09x = 86,532.66
  5. Step 5: Solve for x
    x = 86,532.66/295.09
  6. Step 6: Final answer
    x = 293.24

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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.