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Finding the Fourth Proportional to 431.84, 647.76 and 171.83

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Solution

The fourth proportional to 431.84, 647.76 and 171.83 is: 257.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.84 : 647.76 = 171.83 : x
  2. Step 2: Convert to fraction form
    431.84/647.76 = 171.83/x
  3. Step 3: Cross multiply
    431.84x = 647.76 × 171.83
  4. Step 4: Simplify right side
    431.84x = 111,306.22
  5. Step 5: Solve for x
    x = 111,306.22/431.84
  6. Step 6: Final answer
    x = 257.75

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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.