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Finding the Fourth Proportional to 614.32, 846.66 and 448.27

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Solution

The fourth proportional to 614.32, 846.66 and 448.27 is: 617.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.32 : 846.66 = 448.27 : x
  2. Step 2: Convert to fraction form
    614.32/846.66 = 448.27/x
  3. Step 3: Cross multiply
    614.32x = 846.66 × 448.27
  4. Step 4: Simplify right side
    614.32x = 379,532.28
  5. Step 5: Solve for x
    x = 379,532.28/614.32
  6. Step 6: Final answer
    x = 617.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.