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Finding the Fourth Proportional to 863.99, 1,296.18 and 316.17

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Solution

The fourth proportional to 863.99, 1,296.18 and 316.17 is: 474.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.99 : 1,296.18 = 316.17 : x
  2. Step 2: Convert to fraction form
    863.99/1,296.18 = 316.17/x
  3. Step 3: Cross multiply
    863.99x = 1,296.18 × 316.17
  4. Step 4: Simplify right side
    863.99x = 409,812.34
  5. Step 5: Solve for x
    x = 409,812.34/863.99
  6. Step 6: Final answer
    x = 474.32

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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.