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Finding the Fourth Proportional to 478.44, 659.49 and 380.01

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Solution

The fourth proportional to 478.44, 659.49 and 380.01 is: 523.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.44 : 659.49 = 380.01 : x
  2. Step 2: Convert to fraction form
    478.44/659.49 = 380.01/x
  3. Step 3: Cross multiply
    478.44x = 659.49 × 380.01
  4. Step 4: Simplify right side
    478.44x = 250,612.79
  5. Step 5: Solve for x
    x = 250,612.79/478.44
  6. Step 6: Final answer
    x = 523.81

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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.