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Finding the Fourth Proportional to 380.16, 524.61 and 331.02

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Solution

The fourth proportional to 380.16, 524.61 and 331.02 is: 456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.16 : 524.61 = 331.02 : x
  2. Step 2: Convert to fraction form
    380.16/524.61 = 331.02/x
  3. Step 3: Cross multiply
    380.16x = 524.61 × 331.02
  4. Step 4: Simplify right side
    380.16x = 173,656.40
  5. Step 5: Solve for x
    x = 173,656.40/380.16
  6. Step 6: Final answer
    x = 456.80

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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.