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Finding the Fourth Proportional to 856.51, 1,284.63 and 279.25

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Solution

The fourth proportional to 856.51, 1,284.63 and 279.25 is: 418.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.51 : 1,284.63 = 279.25 : x
  2. Step 2: Convert to fraction form
    856.51/1,284.63 = 279.25/x
  3. Step 3: Cross multiply
    856.51x = 1,284.63 × 279.25
  4. Step 4: Simplify right side
    856.51x = 358,732.93
  5. Step 5: Solve for x
    x = 358,732.93/856.51
  6. Step 6: Final answer
    x = 418.83

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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.