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Finding the Fourth Proportional to 588.37, 882.63 and 193.04

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Solution

The fourth proportional to 588.37, 882.63 and 193.04 is: 289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.37 : 882.63 = 193.04 : x
  2. Step 2: Convert to fraction form
    588.37/882.63 = 193.04/x
  3. Step 3: Cross multiply
    588.37x = 882.63 × 193.04
  4. Step 4: Simplify right side
    588.37x = 170,382.90
  5. Step 5: Solve for x
    x = 170,382.90/588.37
  6. Step 6: Final answer
    x = 289.58

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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.