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Finding the Fourth Proportional to 514.62, 771.39 and 392.49

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Solution

The fourth proportional to 514.62, 771.39 and 392.49 is: 588.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.62 : 771.39 = 392.49 : x
  2. Step 2: Convert to fraction form
    514.62/771.39 = 392.49/x
  3. Step 3: Cross multiply
    514.62x = 771.39 × 392.49
  4. Step 4: Simplify right side
    514.62x = 302,762.86
  5. Step 5: Solve for x
    x = 302,762.86/514.62
  6. Step 6: Final answer
    x = 588.32

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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.