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Finding the Fourth Proportional to 478.49, 717.36 and 440.05

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Solution

The fourth proportional to 478.49, 717.36 and 440.05 is: 659.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.49 : 717.36 = 440.05 : x
  2. Step 2: Convert to fraction form
    478.49/717.36 = 440.05/x
  3. Step 3: Cross multiply
    478.49x = 717.36 × 440.05
  4. Step 4: Simplify right side
    478.49x = 315,674.96
  5. Step 5: Solve for x
    x = 315,674.96/478.49
  6. Step 6: Final answer
    x = 659.73

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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.