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Finding the Fourth Proportional to 863.76, 1,295.86 and 316

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Solution

The fourth proportional to 863.76, 1,295.86 and 316 is: 474.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.76 : 1,295.86 = 316 : x
  2. Step 2: Convert to fraction form
    863.76/1,295.86 = 316/x
  3. Step 3: Cross multiply
    863.76x = 1,295.86 × 316
  4. Step 4: Simplify right side
    863.76x = 409,491.76
  5. Step 5: Solve for x
    x = 409,491.76/863.76
  6. Step 6: Final answer
    x = 474.08

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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.