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Finding the Fourth Proportional to 431.62, 646.34 and 268.82

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Solution

The fourth proportional to 431.62, 646.34 and 268.82 is: 402.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.62 : 646.34 = 268.82 : x
  2. Step 2: Convert to fraction form
    431.62/646.34 = 268.82/x
  3. Step 3: Cross multiply
    431.62x = 646.34 × 268.82
  4. Step 4: Simplify right side
    431.62x = 173,749.12
  5. Step 5: Solve for x
    x = 173,749.12/431.62
  6. Step 6: Final answer
    x = 402.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.