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Finding the Fourth Proportional to 431.72, 649.90 and 369.08

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Solution

The fourth proportional to 431.72, 649.90 and 369.08 is: 555.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.72 : 649.90 = 369.08 : x
  2. Step 2: Convert to fraction form
    431.72/649.90 = 369.08/x
  3. Step 3: Cross multiply
    431.72x = 649.90 × 369.08
  4. Step 4: Simplify right side
    431.72x = 239,865.09
  5. Step 5: Solve for x
    x = 239,865.09/431.72
  6. Step 6: Final answer
    x = 555.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.