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Finding the Fourth Proportional to 856.96, 1,285.56 and 279.84

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Solution

The fourth proportional to 856.96, 1,285.56 and 279.84 is: 419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.96 : 1,285.56 = 279.84 : x
  2. Step 2: Convert to fraction form
    856.96/1,285.56 = 279.84/x
  3. Step 3: Cross multiply
    856.96x = 1,285.56 × 279.84
  4. Step 4: Simplify right side
    856.96x = 359,751.11
  5. Step 5: Solve for x
    x = 359,751.11/856.96
  6. Step 6: Final answer
    x = 419.80

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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.