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Finding the Fourth Proportional to 295.84, 443.79 and 257.29

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Solution

The fourth proportional to 295.84, 443.79 and 257.29 is: 385.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.84 : 443.79 = 257.29 : x
  2. Step 2: Convert to fraction form
    295.84/443.79 = 257.29/x
  3. Step 3: Cross multiply
    295.84x = 443.79 × 257.29
  4. Step 4: Simplify right side
    295.84x = 114,182.73
  5. Step 5: Solve for x
    x = 114,182.73/295.84
  6. Step 6: Final answer
    x = 385.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.