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Finding the Fourth Proportional to 392.00, 540.76 and 261.03

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Solution

The fourth proportional to 392.00, 540.76 and 261.03 is: 360.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.00 : 540.76 = 261.03 : x
  2. Step 2: Convert to fraction form
    392.00/540.76 = 261.03/x
  3. Step 3: Cross multiply
    392.00x = 540.76 × 261.03
  4. Step 4: Simplify right side
    392.00x = 141,156.45
  5. Step 5: Solve for x
    x = 141,156.45/392.00
  6. Step 6: Final answer
    x = 360.09

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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.