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Finding the Fourth Proportional to 828.29, 1,242.40 and 341.33

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Solution

The fourth proportional to 828.29, 1,242.40 and 341.33 is: 511.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.29 : 1,242.40 = 341.33 : x
  2. Step 2: Convert to fraction form
    828.29/1,242.40 = 341.33/x
  3. Step 3: Cross multiply
    828.29x = 1,242.40 × 341.33
  4. Step 4: Simplify right side
    828.29x = 424,068.39
  5. Step 5: Solve for x
    x = 424,068.39/828.29
  6. Step 6: Final answer
    x = 511.98

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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.