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Finding the Fourth Proportional to 392.08, 587.40 and 337.36

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Solution

The fourth proportional to 392.08, 587.40 and 337.36 is: 505.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.08 : 587.40 = 337.36 : x
  2. Step 2: Convert to fraction form
    392.08/587.40 = 337.36/x
  3. Step 3: Cross multiply
    392.08x = 587.40 × 337.36
  4. Step 4: Simplify right side
    392.08x = 198,165.26
  5. Step 5: Solve for x
    x = 198,165.26/392.08
  6. Step 6: Final answer
    x = 505.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.