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Finding the Fourth Proportional to 392.10, 540.98 and 304.62

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Solution

The fourth proportional to 392.10, 540.98 and 304.62 is: 420.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.10 : 540.98 = 304.62 : x
  2. Step 2: Convert to fraction form
    392.10/540.98 = 304.62/x
  3. Step 3: Cross multiply
    392.10x = 540.98 × 304.62
  4. Step 4: Simplify right side
    392.10x = 164,793.33
  5. Step 5: Solve for x
    x = 164,793.33/392.10
  6. Step 6: Final answer
    x = 420.28

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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.