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Finding the Fourth Proportional to 856.34, 1,284.48 and 279.22

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Solution

The fourth proportional to 856.34, 1,284.48 and 279.22 is: 418.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.34 : 1,284.48 = 279.22 : x
  2. Step 2: Convert to fraction form
    856.34/1,284.48 = 279.22/x
  3. Step 3: Cross multiply
    856.34x = 1,284.48 × 279.22
  4. Step 4: Simplify right side
    856.34x = 358,652.51
  5. Step 5: Solve for x
    x = 358,652.51/856.34
  6. Step 6: Final answer
    x = 418.82

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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.