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Finding the Fourth Proportional to 295.47, 409.95 and 280.44

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Solution

The fourth proportional to 295.47, 409.95 and 280.44 is: 389.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.47 : 409.95 = 280.44 : x
  2. Step 2: Convert to fraction form
    295.47/409.95 = 280.44/x
  3. Step 3: Cross multiply
    295.47x = 409.95 × 280.44
  4. Step 4: Simplify right side
    295.47x = 114,964.83
  5. Step 5: Solve for x
    x = 114,964.83/295.47
  6. Step 6: Final answer
    x = 389.09

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.