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Finding the Fourth Proportional to 588.42, 882.81 and 203.64

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Solution

The fourth proportional to 588.42, 882.81 and 203.64 is: 305.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.42 : 882.81 = 203.64 : x
  2. Step 2: Convert to fraction form
    588.42/882.81 = 203.64/x
  3. Step 3: Cross multiply
    588.42x = 882.81 × 203.64
  4. Step 4: Simplify right side
    588.42x = 179,775.43
  5. Step 5: Solve for x
    x = 179,775.43/588.42
  6. Step 6: Final answer
    x = 305.52

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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.