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Finding the Fourth Proportional to 456.14, 684.96 and 286.22

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Solution

The fourth proportional to 456.14, 684.96 and 286.22 is: 429.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.14 : 684.96 = 286.22 : x
  2. Step 2: Convert to fraction form
    456.14/684.96 = 286.22/x
  3. Step 3: Cross multiply
    456.14x = 684.96 × 286.22
  4. Step 4: Simplify right side
    456.14x = 196,049.25
  5. Step 5: Solve for x
    x = 196,049.25/456.14
  6. Step 6: Final answer
    x = 429.80

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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.