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Finding the Fourth Proportional to 431.18, 646.75 and 122.99

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Solution

The fourth proportional to 431.18, 646.75 and 122.99 is: 184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.18 : 646.75 = 122.99 : x
  2. Step 2: Convert to fraction form
    431.18/646.75 = 122.99/x
  3. Step 3: Cross multiply
    431.18x = 646.75 × 122.99
  4. Step 4: Simplify right side
    431.18x = 79,543.78
  5. Step 5: Solve for x
    x = 79,543.78/431.18
  6. Step 6: Final answer
    x = 184.48

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