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Finding the Fourth Proportional to 856.34, 1,284.68 and 308.51

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Solution

The fourth proportional to 856.34, 1,284.68 and 308.51 is: 462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.34 : 1,284.68 = 308.51 : x
  2. Step 2: Convert to fraction form
    856.34/1,284.68 = 308.51/x
  3. Step 3: Cross multiply
    856.34x = 1,284.68 × 308.51
  4. Step 4: Simplify right side
    856.34x = 396,328.66
  5. Step 5: Solve for x
    x = 396,328.66/856.34
  6. Step 6: Final answer
    x = 462.82

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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.