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Finding the Fourth Proportional to 392, 540.71 and 252.07

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Solution

The fourth proportional to 392, 540.71 and 252.07 is: 347.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    392 : 540.71 = 252.07 : x
  2. Step 2: Convert to fraction form
    392/540.71 = 252.07/x
  3. Step 3: Cross multiply
    392x = 540.71 × 252.07
  4. Step 4: Simplify right side
    392x = 136,296.77
  5. Step 5: Solve for x
    x = 136,296.77/392
  6. Step 6: Final answer
    x = 347.70

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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.