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Finding the Fourth Proportional to 431.15, 646.34 and 184.34

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Solution

The fourth proportional to 431.15, 646.34 and 184.34 is: 276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.15 : 646.34 = 184.34 : x
  2. Step 2: Convert to fraction form
    431.15/646.34 = 184.34/x
  3. Step 3: Cross multiply
    431.15x = 646.34 × 184.34
  4. Step 4: Simplify right side
    431.15x = 119,142.16
  5. Step 5: Solve for x
    x = 119,142.16/431.15
  6. Step 6: Final answer
    x = 276.34

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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.