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Finding the Fourth Proportional to 856.14, 1,283.91 and 278.88

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Solution

The fourth proportional to 856.14, 1,283.91 and 278.88 is: 418.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.14 : 1,283.91 = 278.88 : x
  2. Step 2: Convert to fraction form
    856.14/1,283.91 = 278.88/x
  3. Step 3: Cross multiply
    856.14x = 1,283.91 × 278.88
  4. Step 4: Simplify right side
    856.14x = 358,056.82
  5. Step 5: Solve for x
    x = 358,056.82/856.14
  6. Step 6: Final answer
    x = 418.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.