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Finding the Fourth Proportional to 940.73, 1,411.09 and 291.46

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Solution

The fourth proportional to 940.73, 1,411.09 and 291.46 is: 437.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.73 : 1,411.09 = 291.46 : x
  2. Step 2: Convert to fraction form
    940.73/1,411.09 = 291.46/x
  3. Step 3: Cross multiply
    940.73x = 1,411.09 × 291.46
  4. Step 4: Simplify right side
    940.73x = 411,276.29
  5. Step 5: Solve for x
    x = 411,276.29/940.73
  6. Step 6: Final answer
    x = 437.19

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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.