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Finding the Fourth Proportional to 418.67, 578.54 and 405.16

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Solution

The fourth proportional to 418.67, 578.54 and 405.16 is: 559.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.67 : 578.54 = 405.16 : x
  2. Step 2: Convert to fraction form
    418.67/578.54 = 405.16/x
  3. Step 3: Cross multiply
    418.67x = 578.54 × 405.16
  4. Step 4: Simplify right side
    418.67x = 234,398.55
  5. Step 5: Solve for x
    x = 234,398.55/418.67
  6. Step 6: Final answer
    x = 559.86

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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.