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Finding the Fourth Proportional to 415.16, 571.50 and 331.64

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Solution

The fourth proportional to 415.16, 571.50 and 331.64 is: 456.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.16 : 571.50 = 331.64 : x
  2. Step 2: Convert to fraction form
    415.16/571.50 = 331.64/x
  3. Step 3: Cross multiply
    415.16x = 571.50 × 331.64
  4. Step 4: Simplify right side
    415.16x = 189,532.26
  5. Step 5: Solve for x
    x = 189,532.26/415.16
  6. Step 6: Final answer
    x = 456.53

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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.