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Finding the Fourth Proportional to 431.87, 596.28 and 404.33

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Solution

The fourth proportional to 431.87, 596.28 and 404.33 is: 558.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.87 : 596.28 = 404.33 : x
  2. Step 2: Convert to fraction form
    431.87/596.28 = 404.33/x
  3. Step 3: Cross multiply
    431.87x = 596.28 × 404.33
  4. Step 4: Simplify right side
    431.87x = 241,093.89
  5. Step 5: Solve for x
    x = 241,093.89/431.87
  6. Step 6: Final answer
    x = 558.26

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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.