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Finding the Fourth Proportional to 856.16, 1,284.24 and 271.13

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Solution

The fourth proportional to 856.16, 1,284.24 and 271.13 is: 406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.16 : 1,284.24 = 271.13 : x
  2. Step 2: Convert to fraction form
    856.16/1,284.24 = 271.13/x
  3. Step 3: Cross multiply
    856.16x = 1,284.24 × 271.13
  4. Step 4: Simplify right side
    856.16x = 348,195.99
  5. Step 5: Solve for x
    x = 348,195.99/856.16
  6. Step 6: Final answer
    x = 406.70

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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.