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Finding the Fourth Proportional to 423.97, 585.49 and 365.20

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Solution

The fourth proportional to 423.97, 585.49 and 365.20 is: 504.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.97 : 585.49 = 365.20 : x
  2. Step 2: Convert to fraction form
    423.97/585.49 = 365.20/x
  3. Step 3: Cross multiply
    423.97x = 585.49 × 365.20
  4. Step 4: Simplify right side
    423.97x = 213,820.95
  5. Step 5: Solve for x
    x = 213,820.95/423.97
  6. Step 6: Final answer
    x = 504.33

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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.