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Finding the Fourth Proportional to 383.74, 529.68 and 218.06

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Solution

The fourth proportional to 383.74, 529.68 and 218.06 is: 300.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.74 : 529.68 = 218.06 : x
  2. Step 2: Convert to fraction form
    383.74/529.68 = 218.06/x
  3. Step 3: Cross multiply
    383.74x = 529.68 × 218.06
  4. Step 4: Simplify right side
    383.74x = 115,502.02
  5. Step 5: Solve for x
    x = 115,502.02/383.74
  6. Step 6: Final answer
    x = 300.99

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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.