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Finding the Fourth Proportional to 874.12, 1,310.94 and 361

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Solution

The fourth proportional to 874.12, 1,310.94 and 361 is: 541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.12 : 1,310.94 = 361 : x
  2. Step 2: Convert to fraction form
    874.12/1,310.94 = 361/x
  3. Step 3: Cross multiply
    874.12x = 1,310.94 × 361
  4. Step 4: Simplify right side
    874.12x = 473,249.34
  5. Step 5: Solve for x
    x = 473,249.34/874.12
  6. Step 6: Final answer
    x = 541.40

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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.