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Finding the Fourth Proportional to 856.50, 1,284.81 and 343.50

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Solution

The fourth proportional to 856.50, 1,284.81 and 343.50 is: 515.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.50 : 1,284.81 = 343.50 : x
  2. Step 2: Convert to fraction form
    856.50/1,284.81 = 343.50/x
  3. Step 3: Cross multiply
    856.50x = 1,284.81 × 343.50
  4. Step 4: Simplify right side
    856.50x = 441,332.24
  5. Step 5: Solve for x
    x = 441,332.24/856.50
  6. Step 6: Final answer
    x = 515.27

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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.