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Finding the Fourth Proportional to 418.85, 578.30 and 320.43

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Solution

The fourth proportional to 418.85, 578.30 and 320.43 is: 442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.85 : 578.30 = 320.43 : x
  2. Step 2: Convert to fraction form
    418.85/578.30 = 320.43/x
  3. Step 3: Cross multiply
    418.85x = 578.30 × 320.43
  4. Step 4: Simplify right side
    418.85x = 185,303.07
  5. Step 5: Solve for x
    x = 185,303.07/418.85
  6. Step 6: Final answer
    x = 442.41

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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.