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Finding the Fourth Proportional to 432.28, 645.71 and 425.62

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Solution

The fourth proportional to 432.28, 645.71 and 425.62 is: 635.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.28 : 645.71 = 425.62 : x
  2. Step 2: Convert to fraction form
    432.28/645.71 = 425.62/x
  3. Step 3: Cross multiply
    432.28x = 645.71 × 425.62
  4. Step 4: Simplify right side
    432.28x = 274,827.09
  5. Step 5: Solve for x
    x = 274,827.09/432.28
  6. Step 6: Final answer
    x = 635.76

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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.