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Finding the Fourth Proportional to 856.41, 1,284.49 and 336.39

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Solution

The fourth proportional to 856.41, 1,284.49 and 336.39 is: 504.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.41 : 1,284.49 = 336.39 : x
  2. Step 2: Convert to fraction form
    856.41/1,284.49 = 336.39/x
  3. Step 3: Cross multiply
    856.41x = 1,284.49 × 336.39
  4. Step 4: Simplify right side
    856.41x = 432,089.59
  5. Step 5: Solve for x
    x = 432,089.59/856.41
  6. Step 6: Final answer
    x = 504.54

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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.