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Finding the Fourth Proportional to 590.02, 884.72 and 243.29

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Solution

The fourth proportional to 590.02, 884.72 and 243.29 is: 364.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.02 : 884.72 = 243.29 : x
  2. Step 2: Convert to fraction form
    590.02/884.72 = 243.29/x
  3. Step 3: Cross multiply
    590.02x = 884.72 × 243.29
  4. Step 4: Simplify right side
    590.02x = 215,241.37
  5. Step 5: Solve for x
    x = 215,241.37/590.02
  6. Step 6: Final answer
    x = 364.81

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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.