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Finding the Fourth Proportional to 420.87, 630.79 and 298.88

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Solution

The fourth proportional to 420.87, 630.79 and 298.88 is: 447.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.87 : 630.79 = 298.88 : x
  2. Step 2: Convert to fraction form
    420.87/630.79 = 298.88/x
  3. Step 3: Cross multiply
    420.87x = 630.79 × 298.88
  4. Step 4: Simplify right side
    420.87x = 188,526.61
  5. Step 5: Solve for x
    x = 188,526.61/420.87
  6. Step 6: Final answer
    x = 447.95

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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.