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Finding the Fourth Proportional to 379.65, 565.76 and 369.09

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Solution

The fourth proportional to 379.65, 565.76 and 369.09 is: 550.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.65 : 565.76 = 369.09 : x
  2. Step 2: Convert to fraction form
    379.65/565.76 = 369.09/x
  3. Step 3: Cross multiply
    379.65x = 565.76 × 369.09
  4. Step 4: Simplify right side
    379.65x = 208,816.36
  5. Step 5: Solve for x
    x = 208,816.36/379.65
  6. Step 6: Final answer
    x = 550.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.