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Finding the Fourth Proportional to 431.69, 646.33 and 369.41

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Solution

The fourth proportional to 431.69, 646.33 and 369.41 is: 553.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.69 : 646.33 = 369.41 : x
  2. Step 2: Convert to fraction form
    431.69/646.33 = 369.41/x
  3. Step 3: Cross multiply
    431.69x = 646.33 × 369.41
  4. Step 4: Simplify right side
    431.69x = 238,755.69
  5. Step 5: Solve for x
    x = 238,755.69/431.69
  6. Step 6: Final answer
    x = 553.08

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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.