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Finding the Fourth Proportional to 449.08, 669.17 and 400.62

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Solution

The fourth proportional to 449.08, 669.17 and 400.62 is: 596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.08 : 669.17 = 400.62 : x
  2. Step 2: Convert to fraction form
    449.08/669.17 = 400.62/x
  3. Step 3: Cross multiply
    449.08x = 669.17 × 400.62
  4. Step 4: Simplify right side
    449.08x = 268,082.89
  5. Step 5: Solve for x
    x = 268,082.89/449.08
  6. Step 6: Final answer
    x = 596.96

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Why These Related Problems?

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