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Finding the Fourth Proportional to 539.98, 744.86 and 392.44

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Solution

The fourth proportional to 539.98, 744.86 and 392.44 is: 541.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.98 : 744.86 = 392.44 : x
  2. Step 2: Convert to fraction form
    539.98/744.86 = 392.44/x
  3. Step 3: Cross multiply
    539.98x = 744.86 × 392.44
  4. Step 4: Simplify right side
    539.98x = 292,312.86
  5. Step 5: Solve for x
    x = 292,312.86/539.98
  6. Step 6: Final answer
    x = 541.34

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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.