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Finding the Fourth Proportional to 303.82, 456.34 and 284.38

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Solution

The fourth proportional to 303.82, 456.34 and 284.38 is: 427.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.82 : 456.34 = 284.38 : x
  2. Step 2: Convert to fraction form
    303.82/456.34 = 284.38/x
  3. Step 3: Cross multiply
    303.82x = 456.34 × 284.38
  4. Step 4: Simplify right side
    303.82x = 129,773.97
  5. Step 5: Solve for x
    x = 129,773.97/303.82
  6. Step 6: Final answer
    x = 427.14

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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.