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Finding the Fourth Proportional to 587.04, 881.92 and 343.73

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Solution

The fourth proportional to 587.04, 881.92 and 343.73 is: 516.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.04 : 881.92 = 343.73 : x
  2. Step 2: Convert to fraction form
    587.04/881.92 = 343.73/x
  3. Step 3: Cross multiply
    587.04x = 881.92 × 343.73
  4. Step 4: Simplify right side
    587.04x = 303,145.00
  5. Step 5: Solve for x
    x = 303,145.00/587.04
  6. Step 6: Final answer
    x = 516.40

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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.