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Finding the Fourth Proportional to 841, 1,260.54 and 353.49

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Solution

The fourth proportional to 841, 1,260.54 and 353.49 is: 529.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    841 : 1,260.54 = 353.49 : x
  2. Step 2: Convert to fraction form
    841/1,260.54 = 353.49/x
  3. Step 3: Cross multiply
    841x = 1,260.54 × 353.49
  4. Step 4: Simplify right side
    841x = 445,588.28
  5. Step 5: Solve for x
    x = 445,588.28/841
  6. Step 6: Final answer
    x = 529.83

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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.