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Finding the Fourth Proportional to 456.92, 683.74 and 283.44

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Solution

The fourth proportional to 456.92, 683.74 and 283.44 is: 424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.92 : 683.74 = 283.44 : x
  2. Step 2: Convert to fraction form
    456.92/683.74 = 283.44/x
  3. Step 3: Cross multiply
    456.92x = 683.74 × 283.44
  4. Step 4: Simplify right side
    456.92x = 193,799.27
  5. Step 5: Solve for x
    x = 193,799.27/456.92
  6. Step 6: Final answer
    x = 424.14

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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.