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Finding the Fourth Proportional to 478.23, 659.79 and 379.77

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Solution

The fourth proportional to 478.23, 659.79 and 379.77 is: 523.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.23 : 659.79 = 379.77 : x
  2. Step 2: Convert to fraction form
    478.23/659.79 = 379.77/x
  3. Step 3: Cross multiply
    478.23x = 659.79 × 379.77
  4. Step 4: Simplify right side
    478.23x = 250,568.45
  5. Step 5: Solve for x
    x = 250,568.45/478.23
  6. Step 6: Final answer
    x = 523.95

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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.