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Finding the Fourth Proportional to 590.02, 884.82 and 243.19

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Solution

The fourth proportional to 590.02, 884.82 and 243.19 is: 364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.02 : 884.82 = 243.19 : x
  2. Step 2: Convert to fraction form
    590.02/884.82 = 243.19/x
  3. Step 3: Cross multiply
    590.02x = 884.82 × 243.19
  4. Step 4: Simplify right side
    590.02x = 215,181.39
  5. Step 5: Solve for x
    x = 215,181.39/590.02
  6. Step 6: Final answer
    x = 364.70

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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.