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Finding the Fourth Proportional to 590.08, 884.43 and 243.24

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Solution

The fourth proportional to 590.08, 884.43 and 243.24 is: 364.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.08 : 884.43 = 243.24 : x
  2. Step 2: Convert to fraction form
    590.08/884.43 = 243.24/x
  3. Step 3: Cross multiply
    590.08x = 884.43 × 243.24
  4. Step 4: Simplify right side
    590.08x = 215,129.75
  5. Step 5: Solve for x
    x = 215,129.75/590.08
  6. Step 6: Final answer
    x = 364.58

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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.