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Finding the Fourth Proportional to 392.04, 540.96 and 252.12

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Solution

The fourth proportional to 392.04, 540.96 and 252.12 is: 347.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.04 : 540.96 = 252.12 : x
  2. Step 2: Convert to fraction form
    392.04/540.96 = 252.12/x
  3. Step 3: Cross multiply
    392.04x = 540.96 × 252.12
  4. Step 4: Simplify right side
    392.04x = 136,386.84
  5. Step 5: Solve for x
    x = 136,386.84/392.04
  6. Step 6: Final answer
    x = 347.89

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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.