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Finding the Fourth Proportional to 380.59, 570.86 and 218.64

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Solution

The fourth proportional to 380.59, 570.86 and 218.64 is: 327.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.59 : 570.86 = 218.64 : x
  2. Step 2: Convert to fraction form
    380.59/570.86 = 218.64/x
  3. Step 3: Cross multiply
    380.59x = 570.86 × 218.64
  4. Step 4: Simplify right side
    380.59x = 124,811.74
  5. Step 5: Solve for x
    x = 124,811.74/380.59
  6. Step 6: Final answer
    x = 327.94

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Why These Related Problems?

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