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Finding the Fourth Proportional to 424.69, 584.67 and 369.40

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Solution

The fourth proportional to 424.69, 584.67 and 369.40 is: 508.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.69 : 584.67 = 369.40 : x
  2. Step 2: Convert to fraction form
    424.69/584.67 = 369.40/x
  3. Step 3: Cross multiply
    424.69x = 584.67 × 369.40
  4. Step 4: Simplify right side
    424.69x = 215,972.33
  5. Step 5: Solve for x
    x = 215,972.33/424.69
  6. Step 6: Final answer
    x = 508.55

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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.