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Finding the Fourth Proportional to 856.16, 1,283.93 and 308.19

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Solution

The fourth proportional to 856.16, 1,283.93 and 308.19 is: 462.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.16 : 1,283.93 = 308.19 : x
  2. Step 2: Convert to fraction form
    856.16/1,283.93 = 308.19/x
  3. Step 3: Cross multiply
    856.16x = 1,283.93 × 308.19
  4. Step 4: Simplify right side
    856.16x = 395,694.39
  5. Step 5: Solve for x
    x = 395,694.39/856.16
  6. Step 6: Final answer
    x = 462.17

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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.