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Finding the Fourth Proportional to 456.06, 683.83 and 250.58

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Solution

The fourth proportional to 456.06, 683.83 and 250.58 is: 375.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.06 : 683.83 = 250.58 : x
  2. Step 2: Convert to fraction form
    456.06/683.83 = 250.58/x
  3. Step 3: Cross multiply
    456.06x = 683.83 × 250.58
  4. Step 4: Simplify right side
    456.06x = 171,356.14
  5. Step 5: Solve for x
    x = 171,356.14/456.06
  6. Step 6: Final answer
    x = 375.73

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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.