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Finding the Fourth Proportional to 431.39, 646.73 and 407.24

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Solution

The fourth proportional to 431.39, 646.73 and 407.24 is: 610.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.39 : 646.73 = 407.24 : x
  2. Step 2: Convert to fraction form
    431.39/646.73 = 407.24/x
  3. Step 3: Cross multiply
    431.39x = 646.73 × 407.24
  4. Step 4: Simplify right side
    431.39x = 263,374.33
  5. Step 5: Solve for x
    x = 263,374.33/431.39
  6. Step 6: Final answer
    x = 610.52

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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.