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Finding the Fourth Proportional to 316.08, 435.60 and 283.68

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Solution

The fourth proportional to 316.08, 435.60 and 283.68 is: 390.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.08 : 435.60 = 283.68 : x
  2. Step 2: Convert to fraction form
    316.08/435.60 = 283.68/x
  3. Step 3: Cross multiply
    316.08x = 435.60 × 283.68
  4. Step 4: Simplify right side
    316.08x = 123,571.01
  5. Step 5: Solve for x
    x = 123,571.01/316.08
  6. Step 6: Final answer
    x = 390.95

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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.