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Finding the Fourth Proportional to 871.40, 1,307.10 and 344.36

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Solution

The fourth proportional to 871.40, 1,307.10 and 344.36 is: 516.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.40 : 1,307.10 = 344.36 : x
  2. Step 2: Convert to fraction form
    871.40/1,307.10 = 344.36/x
  3. Step 3: Cross multiply
    871.40x = 1,307.10 × 344.36
  4. Step 4: Simplify right side
    871.40x = 450,112.96
  5. Step 5: Solve for x
    x = 450,112.96/871.40
  6. Step 6: Final answer
    x = 516.54

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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.