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Finding the Fourth Proportional to 431.10, 646.41 and 184.05

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Solution

The fourth proportional to 431.10, 646.41 and 184.05 is: 275.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.10 : 646.41 = 184.05 : x
  2. Step 2: Convert to fraction form
    431.10/646.41 = 184.05/x
  3. Step 3: Cross multiply
    431.10x = 646.41 × 184.05
  4. Step 4: Simplify right side
    431.10x = 118,971.76
  5. Step 5: Solve for x
    x = 118,971.76/431.10
  6. Step 6: Final answer
    x = 275.97

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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.