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Finding the Fourth Proportional to 431.87, 596.27 and 349.34

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Solution

The fourth proportional to 431.87, 596.27 and 349.34 is: 482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.87 : 596.27 = 349.34 : x
  2. Step 2: Convert to fraction form
    431.87/596.27 = 349.34/x
  3. Step 3: Cross multiply
    431.87x = 596.27 × 349.34
  4. Step 4: Simplify right side
    431.87x = 208,298.85
  5. Step 5: Solve for x
    x = 208,298.85/431.87
  6. Step 6: Final answer
    x = 482.32

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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.