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Finding the Fourth Proportional to 456.05, 683.75 and 293.84

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Solution

The fourth proportional to 456.05, 683.75 and 293.84 is: 440.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.05 : 683.75 = 293.84 : x
  2. Step 2: Convert to fraction form
    456.05/683.75 = 293.84/x
  3. Step 3: Cross multiply
    456.05x = 683.75 × 293.84
  4. Step 4: Simplify right side
    456.05x = 200,908.21
  5. Step 5: Solve for x
    x = 200,908.21/456.05
  6. Step 6: Final answer
    x = 440.54

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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.