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Finding the Fourth Proportional to 431.41, 646.99 and 123.29

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Solution

The fourth proportional to 431.41, 646.99 and 123.29 is: 184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.41 : 646.99 = 123.29 : x
  2. Step 2: Convert to fraction form
    431.41/646.99 = 123.29/x
  3. Step 3: Cross multiply
    431.41x = 646.99 × 123.29
  4. Step 4: Simplify right side
    431.41x = 79,766.28
  5. Step 5: Solve for x
    x = 79,766.28/431.41
  6. Step 6: Final answer
    x = 184.90

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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.