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Finding the Fourth Proportional to 394.24, 544.44 and 317.20

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Solution

The fourth proportional to 394.24, 544.44 and 317.20 is: 438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.24 : 544.44 = 317.20 : x
  2. Step 2: Convert to fraction form
    394.24/544.44 = 317.20/x
  3. Step 3: Cross multiply
    394.24x = 544.44 × 317.20
  4. Step 4: Simplify right side
    394.24x = 172,696.37
  5. Step 5: Solve for x
    x = 172,696.37/394.24
  6. Step 6: Final answer
    x = 438.05

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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.