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Finding the Fourth Proportional to 418.72, 578.46 and 357.19

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Solution

The fourth proportional to 418.72, 578.46 and 357.19 is: 493.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.72 : 578.46 = 357.19 : x
  2. Step 2: Convert to fraction form
    418.72/578.46 = 357.19/x
  3. Step 3: Cross multiply
    418.72x = 578.46 × 357.19
  4. Step 4: Simplify right side
    418.72x = 206,620.13
  5. Step 5: Solve for x
    x = 206,620.13/418.72
  6. Step 6: Final answer
    x = 493.46

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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.