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Finding the Fourth Proportional to 418.44, 578.10 and 374.92

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Solution

The fourth proportional to 418.44, 578.10 and 374.92 is: 517.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.44 : 578.10 = 374.92 : x
  2. Step 2: Convert to fraction form
    418.44/578.10 = 374.92/x
  3. Step 3: Cross multiply
    418.44x = 578.10 × 374.92
  4. Step 4: Simplify right side
    418.44x = 216,741.25
  5. Step 5: Solve for x
    x = 216,741.25/418.44
  6. Step 6: Final answer
    x = 517.97

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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.