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Finding the Fourth Proportional to 856.35, 1,284.84 and 369.78

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Solution

The fourth proportional to 856.35, 1,284.84 and 369.78 is: 554.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.35 : 1,284.84 = 369.78 : x
  2. Step 2: Convert to fraction form
    856.35/1,284.84 = 369.78/x
  3. Step 3: Cross multiply
    856.35x = 1,284.84 × 369.78
  4. Step 4: Simplify right side
    856.35x = 475,108.14
  5. Step 5: Solve for x
    x = 475,108.14/856.35
  6. Step 6: Final answer
    x = 554.81

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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.