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Finding the Fourth Proportional to 431.50, 647.51 and 171.53

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Solution

The fourth proportional to 431.50, 647.51 and 171.53 is: 257.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.50 : 647.51 = 171.53 : x
  2. Step 2: Convert to fraction form
    431.50/647.51 = 171.53/x
  3. Step 3: Cross multiply
    431.50x = 647.51 × 171.53
  4. Step 4: Simplify right side
    431.50x = 111,067.39
  5. Step 5: Solve for x
    x = 111,067.39/431.50
  6. Step 6: Final answer
    x = 257.40

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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.