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Finding the Fourth Proportional to 456.33, 683.30 and 383.03

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Solution

The fourth proportional to 456.33, 683.30 and 383.03 is: 573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.33 : 683.30 = 383.03 : x
  2. Step 2: Convert to fraction form
    456.33/683.30 = 383.03/x
  3. Step 3: Cross multiply
    456.33x = 683.30 × 383.03
  4. Step 4: Simplify right side
    456.33x = 261,724.50
  5. Step 5: Solve for x
    x = 261,724.50/456.33
  6. Step 6: Final answer
    x = 573.54

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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.