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Finding the Fourth Proportional to 431.03, 646.08 and 293.73

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Solution

The fourth proportional to 431.03, 646.08 and 293.73 is: 440.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.03 : 646.08 = 293.73 : x
  2. Step 2: Convert to fraction form
    431.03/646.08 = 293.73/x
  3. Step 3: Cross multiply
    431.03x = 646.08 × 293.73
  4. Step 4: Simplify right side
    431.03x = 189,773.08
  5. Step 5: Solve for x
    x = 189,773.08/431.03
  6. Step 6: Final answer
    x = 440.28

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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.