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Finding the Fourth Proportional to 270.30, 407.30 and 257.94

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Solution

The fourth proportional to 270.30, 407.30 and 257.94 is: 388.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.30 : 407.30 = 257.94 : x
  2. Step 2: Convert to fraction form
    270.30/407.30 = 257.94/x
  3. Step 3: Cross multiply
    270.30x = 407.30 × 257.94
  4. Step 4: Simplify right side
    270.30x = 105,058.96
  5. Step 5: Solve for x
    x = 105,058.96/270.30
  6. Step 6: Final answer
    x = 388.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.