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Finding the Fourth Proportional to 456.24, 683.37 and 293.07

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Solution

The fourth proportional to 456.24, 683.37 and 293.07 is: 438.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.24 : 683.37 = 293.07 : x
  2. Step 2: Convert to fraction form
    456.24/683.37 = 293.07/x
  3. Step 3: Cross multiply
    456.24x = 683.37 × 293.07
  4. Step 4: Simplify right side
    456.24x = 200,275.25
  5. Step 5: Solve for x
    x = 200,275.25/456.24
  6. Step 6: Final answer
    x = 438.97

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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.