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Finding the Fourth Proportional to 383.78, 529.56 and 218.02

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Solution

The fourth proportional to 383.78, 529.56 and 218.02 is: 300.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.78 : 529.56 = 218.02 : x
  2. Step 2: Convert to fraction form
    383.78/529.56 = 218.02/x
  3. Step 3: Cross multiply
    383.78x = 529.56 × 218.02
  4. Step 4: Simplify right side
    383.78x = 115,454.67
  5. Step 5: Solve for x
    x = 115,454.67/383.78
  6. Step 6: Final answer
    x = 300.84

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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.