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Finding the Fourth Proportional to 841, 1,261.50 and 233

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Solution

The fourth proportional to 841, 1,261.50 and 233 is: 349.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    841 : 1,261.50 = 233 : x
  2. Step 2: Convert to fraction form
    841/1,261.50 = 233/x
  3. Step 3: Cross multiply
    841x = 1,261.50 × 233
  4. Step 4: Simplify right side
    841x = 293,929.50
  5. Step 5: Solve for x
    x = 293,929.50/841
  6. Step 6: Final answer
    x = 349.50

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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.