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Finding the Fourth Proportional to 587.81, 881.90 and 344.81

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Solution

The fourth proportional to 587.81, 881.90 and 344.81 is: 517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.81 : 881.90 = 344.81 : x
  2. Step 2: Convert to fraction form
    587.81/881.90 = 344.81/x
  3. Step 3: Cross multiply
    587.81x = 881.90 × 344.81
  4. Step 4: Simplify right side
    587.81x = 304,087.94
  5. Step 5: Solve for x
    x = 304,087.94/587.81
  6. Step 6: Final answer
    x = 517.32

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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.