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Finding the Fourth Proportional to 394.39, 544.75 and 312.58

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Solution

The fourth proportional to 394.39, 544.75 and 312.58 is: 431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.39 : 544.75 = 312.58 : x
  2. Step 2: Convert to fraction form
    394.39/544.75 = 312.58/x
  3. Step 3: Cross multiply
    394.39x = 544.75 × 312.58
  4. Step 4: Simplify right side
    394.39x = 170,280.27
  5. Step 5: Solve for x
    x = 170,280.27/394.39
  6. Step 6: Final answer
    x = 431.75

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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.