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Finding the Fourth Proportional to 431.73, 646.38 and 339.93

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Solution

The fourth proportional to 431.73, 646.38 and 339.93 is: 508.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.73 : 646.38 = 339.93 : x
  2. Step 2: Convert to fraction form
    431.73/646.38 = 339.93/x
  3. Step 3: Cross multiply
    431.73x = 646.38 × 339.93
  4. Step 4: Simplify right side
    431.73x = 219,723.95
  5. Step 5: Solve for x
    x = 219,723.95/431.73
  6. Step 6: Final answer
    x = 508.94

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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.