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Finding the Fourth Proportional to 609.76, 914.40 and 448.48

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Solution

The fourth proportional to 609.76, 914.40 and 448.48 is: 672.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.76 : 914.40 = 448.48 : x
  2. Step 2: Convert to fraction form
    609.76/914.40 = 448.48/x
  3. Step 3: Cross multiply
    609.76x = 914.40 × 448.48
  4. Step 4: Simplify right side
    609.76x = 410,090.11
  5. Step 5: Solve for x
    x = 410,090.11/609.76
  6. Step 6: Final answer
    x = 672.54

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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.