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Finding the Fourth Proportional to 1,305.31, 1,957.80 and 331.42

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Solution

The fourth proportional to 1,305.31, 1,957.80 and 331.42 is: 497.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.31 : 1,957.80 = 331.42 : x
  2. Step 2: Convert to fraction form
    1,305.31/1,957.80 = 331.42/x
  3. Step 3: Cross multiply
    1,305.31x = 1,957.80 × 331.42
  4. Step 4: Simplify right side
    1,305.31x = 648,854.08
  5. Step 5: Solve for x
    x = 648,854.08/1,305.31
  6. Step 6: Final answer
    x = 497.09

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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.