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Finding the Fourth Proportional to 431.56, 591.23 and 415.12

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Solution

The fourth proportional to 431.56, 591.23 and 415.12 is: 568.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.56 : 591.23 = 415.12 : x
  2. Step 2: Convert to fraction form
    431.56/591.23 = 415.12/x
  3. Step 3: Cross multiply
    431.56x = 591.23 × 415.12
  4. Step 4: Simplify right side
    431.56x = 245,431.40
  5. Step 5: Solve for x
    x = 245,431.40/431.56
  6. Step 6: Final answer
    x = 568.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.