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Finding the Fourth Proportional to 432.20, 643.50 and 429.80

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Solution

The fourth proportional to 432.20, 643.50 and 429.80 is: 639.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.20 : 643.50 = 429.80 : x
  2. Step 2: Convert to fraction form
    432.20/643.50 = 429.80/x
  3. Step 3: Cross multiply
    432.20x = 643.50 × 429.80
  4. Step 4: Simplify right side
    432.20x = 276,576.30
  5. Step 5: Solve for x
    x = 276,576.30/432.20
  6. Step 6: Final answer
    x = 639.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.