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Finding the Fourth Proportional to 431.40, 648.45 and 423.30

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Solution

The fourth proportional to 431.40, 648.45 and 423.30 is: 636.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.40 : 648.45 = 423.30 : x
  2. Step 2: Convert to fraction form
    431.40/648.45 = 423.30/x
  3. Step 3: Cross multiply
    431.40x = 648.45 × 423.30
  4. Step 4: Simplify right side
    431.40x = 274,488.89
  5. Step 5: Solve for x
    x = 274,488.89/431.40
  6. Step 6: Final answer
    x = 636.27

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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.