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Finding the Fourth Proportional to 316.08, 435.78 and 286.92

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Solution

The fourth proportional to 316.08, 435.78 and 286.92 is: 395.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.08 : 435.78 = 286.92 : x
  2. Step 2: Convert to fraction form
    316.08/435.78 = 286.92/x
  3. Step 3: Cross multiply
    316.08x = 435.78 × 286.92
  4. Step 4: Simplify right side
    316.08x = 125,034.00
  5. Step 5: Solve for x
    x = 125,034.00/316.08
  6. Step 6: Final answer
    x = 395.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.