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Finding the Fourth Proportional to 383.16, 577.86 and 329.70

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Solution

The fourth proportional to 383.16, 577.86 and 329.70 is: 497.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.16 : 577.86 = 329.70 : x
  2. Step 2: Convert to fraction form
    383.16/577.86 = 329.70/x
  3. Step 3: Cross multiply
    383.16x = 577.86 × 329.70
  4. Step 4: Simplify right side
    383.16x = 190,520.44
  5. Step 5: Solve for x
    x = 190,520.44/383.16
  6. Step 6: Final answer
    x = 497.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.