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Finding the Fourth Proportional to 425.54, 637.76 and 420.95

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Solution

The fourth proportional to 425.54, 637.76 and 420.95 is: 630.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.54 : 637.76 = 420.95 : x
  2. Step 2: Convert to fraction form
    425.54/637.76 = 420.95/x
  3. Step 3: Cross multiply
    425.54x = 637.76 × 420.95
  4. Step 4: Simplify right side
    425.54x = 268,462.94
  5. Step 5: Solve for x
    x = 268,462.94/425.54
  6. Step 6: Final answer
    x = 630.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.