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Finding the Fourth Proportional to 392.60, 541.60 and 259.88

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Solution

The fourth proportional to 392.60, 541.60 and 259.88 is: 358.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.60 : 541.60 = 259.88 : x
  2. Step 2: Convert to fraction form
    392.60/541.60 = 259.88/x
  3. Step 3: Cross multiply
    392.60x = 541.60 × 259.88
  4. Step 4: Simplify right side
    392.60x = 140,751.01
  5. Step 5: Solve for x
    x = 140,751.01/392.60
  6. Step 6: Final answer
    x = 358.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.