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Finding the Fourth Proportional to 295.54, 407.40 and 225.45

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Solution

The fourth proportional to 295.54, 407.40 and 225.45 is: 310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.54 : 407.40 = 225.45 : x
  2. Step 2: Convert to fraction form
    295.54/407.40 = 225.45/x
  3. Step 3: Cross multiply
    295.54x = 407.40 × 225.45
  4. Step 4: Simplify right side
    295.54x = 91,848.33
  5. Step 5: Solve for x
    x = 91,848.33/295.54
  6. Step 6: Final answer
    x = 310.78

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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.