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Finding the Fourth Proportional to 828.84, 1,242.31 and 341.29

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Solution

The fourth proportional to 828.84, 1,242.31 and 341.29 is: 511.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.84 : 1,242.31 = 341.29 : x
  2. Step 2: Convert to fraction form
    828.84/1,242.31 = 341.29/x
  3. Step 3: Cross multiply
    828.84x = 1,242.31 × 341.29
  4. Step 4: Simplify right side
    828.84x = 423,980.06
  5. Step 5: Solve for x
    x = 423,980.06/828.84
  6. Step 6: Final answer
    x = 511.53

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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.