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Finding the Fourth Proportional to 561.43, 842.91 and 376.95

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Solution

The fourth proportional to 561.43, 842.91 and 376.95 is: 565.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.43 : 842.91 = 376.95 : x
  2. Step 2: Convert to fraction form
    561.43/842.91 = 376.95/x
  3. Step 3: Cross multiply
    561.43x = 842.91 × 376.95
  4. Step 4: Simplify right side
    561.43x = 317,736.67
  5. Step 5: Solve for x
    x = 317,736.67/561.43
  6. Step 6: Final answer
    x = 565.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.