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Finding the Fourth Proportional to 856.15, 1,284.06 and 239.74

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Solution

The fourth proportional to 856.15, 1,284.06 and 239.74 is: 359.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.15 : 1,284.06 = 239.74 : x
  2. Step 2: Convert to fraction form
    856.15/1,284.06 = 239.74/x
  3. Step 3: Cross multiply
    856.15x = 1,284.06 × 239.74
  4. Step 4: Simplify right side
    856.15x = 307,840.54
  5. Step 5: Solve for x
    x = 307,840.54/856.15
  6. Step 6: Final answer
    x = 359.56

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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.