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Finding the Fourth Proportional to 436.56, 649.34 and 397.59

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Solution

The fourth proportional to 436.56, 649.34 and 397.59 is: 591.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.56 : 649.34 = 397.59 : x
  2. Step 2: Convert to fraction form
    436.56/649.34 = 397.59/x
  3. Step 3: Cross multiply
    436.56x = 649.34 × 397.59
  4. Step 4: Simplify right side
    436.56x = 258,169.10
  5. Step 5: Solve for x
    x = 258,169.10/436.56
  6. Step 6: Final answer
    x = 591.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.