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Finding the Fourth Proportional to 344.75, 475.94 and 282.74

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Solution

The fourth proportional to 344.75, 475.94 and 282.74 is: 390.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.75 : 475.94 = 282.74 : x
  2. Step 2: Convert to fraction form
    344.75/475.94 = 282.74/x
  3. Step 3: Cross multiply
    344.75x = 475.94 × 282.74
  4. Step 4: Simplify right side
    344.75x = 134,565.86
  5. Step 5: Solve for x
    x = 134,565.86/344.75
  6. Step 6: Final answer
    x = 390.33

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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.