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Finding the Fourth Proportional to 391.47, 587.78 and 218.48

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Solution

The fourth proportional to 391.47, 587.78 and 218.48 is: 328.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.47 : 587.78 = 218.48 : x
  2. Step 2: Convert to fraction form
    391.47/587.78 = 218.48/x
  3. Step 3: Cross multiply
    391.47x = 587.78 × 218.48
  4. Step 4: Simplify right side
    391.47x = 128,415.24
  5. Step 5: Solve for x
    x = 128,415.24/391.47
  6. Step 6: Final answer
    x = 328.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.