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Finding the Fourth Proportional to 590.14, 885.47 and 243.55

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Solution

The fourth proportional to 590.14, 885.47 and 243.55 is: 365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.14 : 885.47 = 243.55 : x
  2. Step 2: Convert to fraction form
    590.14/885.47 = 243.55/x
  3. Step 3: Cross multiply
    590.14x = 885.47 × 243.55
  4. Step 4: Simplify right side
    590.14x = 215,656.22
  5. Step 5: Solve for x
    x = 215,656.22/590.14
  6. Step 6: Final answer
    x = 365.43

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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.