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Finding the Fourth Proportional to 380.60, 570.63 and 217.52

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Solution

The fourth proportional to 380.60, 570.63 and 217.52 is: 326.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.60 : 570.63 = 217.52 : x
  2. Step 2: Convert to fraction form
    380.60/570.63 = 217.52/x
  3. Step 3: Cross multiply
    380.60x = 570.63 × 217.52
  4. Step 4: Simplify right side
    380.60x = 124,123.44
  5. Step 5: Solve for x
    x = 124,123.44/380.60
  6. Step 6: Final answer
    x = 326.13

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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.