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Finding the Fourth Proportional to 942.76, 1,414.40 and 284.69

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Solution

The fourth proportional to 942.76, 1,414.40 and 284.69 is: 427.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.76 : 1,414.40 = 284.69 : x
  2. Step 2: Convert to fraction form
    942.76/1,414.40 = 284.69/x
  3. Step 3: Cross multiply
    942.76x = 1,414.40 × 284.69
  4. Step 4: Simplify right side
    942.76x = 402,665.54
  5. Step 5: Solve for x
    x = 402,665.54/942.76
  6. Step 6: Final answer
    x = 427.11

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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.