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Finding the Fourth Proportional to 590.14, 885.31 and 243.28

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Solution

The fourth proportional to 590.14, 885.31 and 243.28 is: 364.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.14 : 885.31 = 243.28 : x
  2. Step 2: Convert to fraction form
    590.14/885.31 = 243.28/x
  3. Step 3: Cross multiply
    590.14x = 885.31 × 243.28
  4. Step 4: Simplify right side
    590.14x = 215,379.13
  5. Step 5: Solve for x
    x = 215,379.13/590.14
  6. Step 6: Final answer
    x = 364.96

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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.