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Finding the Fourth Proportional to 395.08, 544.48 and 296.80

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Solution

The fourth proportional to 395.08, 544.48 and 296.80 is: 409.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.08 : 544.48 = 296.80 : x
  2. Step 2: Convert to fraction form
    395.08/544.48 = 296.80/x
  3. Step 3: Cross multiply
    395.08x = 544.48 × 296.80
  4. Step 4: Simplify right side
    395.08x = 161,601.66
  5. Step 5: Solve for x
    x = 161,601.66/395.08
  6. Step 6: Final answer
    x = 409.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.