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Finding the Fourth Proportional to 590.25, 814.56 and 369.36

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Solution

The fourth proportional to 590.25, 814.56 and 369.36 is: 509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.25 : 814.56 = 369.36 : x
  2. Step 2: Convert to fraction form
    590.25/814.56 = 369.36/x
  3. Step 3: Cross multiply
    590.25x = 814.56 × 369.36
  4. Step 4: Simplify right side
    590.25x = 300,864.50
  5. Step 5: Solve for x
    x = 300,864.50/590.25
  6. Step 6: Final answer
    x = 509.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.