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Finding the Fourth Proportional to 856.44, 1,284.51 and 271.32

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Solution

The fourth proportional to 856.44, 1,284.51 and 271.32 is: 406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.44 : 1,284.51 = 271.32 : x
  2. Step 2: Convert to fraction form
    856.44/1,284.51 = 271.32/x
  3. Step 3: Cross multiply
    856.44x = 1,284.51 × 271.32
  4. Step 4: Simplify right side
    856.44x = 348,513.25
  5. Step 5: Solve for x
    x = 348,513.25/856.44
  6. Step 6: Final answer
    x = 406.93

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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.