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Finding the Fourth Proportional to 942.82, 1,414.23 and 284.69

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Solution

The fourth proportional to 942.82, 1,414.23 and 284.69 is: 427.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.82 : 1,414.23 = 284.69 : x
  2. Step 2: Convert to fraction form
    942.82/1,414.23 = 284.69/x
  3. Step 3: Cross multiply
    942.82x = 1,414.23 × 284.69
  4. Step 4: Simplify right side
    942.82x = 402,623.84
  5. Step 5: Solve for x
    x = 402,623.84/942.82
  6. Step 6: Final answer
    x = 427.04

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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.