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Finding the Fourth Proportional to 296.96, 443.62 and 286.16

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Solution

The fourth proportional to 296.96, 443.62 and 286.16 is: 427.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.96 : 443.62 = 286.16 : x
  2. Step 2: Convert to fraction form
    296.96/443.62 = 286.16/x
  3. Step 3: Cross multiply
    296.96x = 443.62 × 286.16
  4. Step 4: Simplify right side
    296.96x = 126,944.80
  5. Step 5: Solve for x
    x = 126,944.80/296.96
  6. Step 6: Final answer
    x = 427.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.