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Finding the Fourth Proportional to 449.12, 674.76 and 416.72

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Solution

The fourth proportional to 449.12, 674.76 and 416.72 is: 626.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.12 : 674.76 = 416.72 : x
  2. Step 2: Convert to fraction form
    449.12/674.76 = 416.72/x
  3. Step 3: Cross multiply
    449.12x = 674.76 × 416.72
  4. Step 4: Simplify right side
    449.12x = 281,185.99
  5. Step 5: Solve for x
    x = 281,185.99/449.12
  6. Step 6: Final answer
    x = 626.08

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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.