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Finding the Fourth Proportional to 590.69, 885.87 and 243.99

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Solution

The fourth proportional to 590.69, 885.87 and 243.99 is: 365.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.69 : 885.87 = 243.99 : x
  2. Step 2: Convert to fraction form
    590.69/885.87 = 243.99/x
  3. Step 3: Cross multiply
    590.69x = 885.87 × 243.99
  4. Step 4: Simplify right side
    590.69x = 216,143.42
  5. Step 5: Solve for x
    x = 216,143.42/590.69
  6. Step 6: Final answer
    x = 365.92

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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.