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Finding the Fourth Proportional to 431.01, 642.38 and 430.33

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Solution

The fourth proportional to 431.01, 642.38 and 430.33 is: 641.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.01 : 642.38 = 430.33 : x
  2. Step 2: Convert to fraction form
    431.01/642.38 = 430.33/x
  3. Step 3: Cross multiply
    431.01x = 642.38 × 430.33
  4. Step 4: Simplify right side
    431.01x = 276,431.63
  5. Step 5: Solve for x
    x = 276,431.63/431.01
  6. Step 6: Final answer
    x = 641.36

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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.