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Finding the Fourth Proportional to 587.56, 881.36 and 343.84

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Solution

The fourth proportional to 587.56, 881.36 and 343.84 is: 515.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.56 : 881.36 = 343.84 : x
  2. Step 2: Convert to fraction form
    587.56/881.36 = 343.84/x
  3. Step 3: Cross multiply
    587.56x = 881.36 × 343.84
  4. Step 4: Simplify right side
    587.56x = 303,046.82
  5. Step 5: Solve for x
    x = 303,046.82/587.56
  6. Step 6: Final answer
    x = 515.77

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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.