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Finding the Fourth Proportional to 392.03, 585.23 and 364.69

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Solution

The fourth proportional to 392.03, 585.23 and 364.69 is: 544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.03 : 585.23 = 364.69 : x
  2. Step 2: Convert to fraction form
    392.03/585.23 = 364.69/x
  3. Step 3: Cross multiply
    392.03x = 585.23 × 364.69
  4. Step 4: Simplify right side
    392.03x = 213,427.53
  5. Step 5: Solve for x
    x = 213,427.53/392.03
  6. Step 6: Final answer
    x = 544.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.