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Finding the Fourth Proportional to 431.88, 642.63 and 430.44

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Solution

The fourth proportional to 431.88, 642.63 and 430.44 is: 640.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.88 : 642.63 = 430.44 : x
  2. Step 2: Convert to fraction form
    431.88/642.63 = 430.44/x
  3. Step 3: Cross multiply
    431.88x = 642.63 × 430.44
  4. Step 4: Simplify right side
    431.88x = 276,613.66
  5. Step 5: Solve for x
    x = 276,613.66/431.88
  6. Step 6: Final answer
    x = 640.49

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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.