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Finding the Fourth Proportional to 449.76, 670.92 and 401.16

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Solution

The fourth proportional to 449.76, 670.92 and 401.16 is: 598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.76 : 670.92 = 401.16 : x
  2. Step 2: Convert to fraction form
    449.76/670.92 = 401.16/x
  3. Step 3: Cross multiply
    449.76x = 670.92 × 401.16
  4. Step 4: Simplify right side
    449.76x = 269,146.27
  5. Step 5: Solve for x
    x = 269,146.27/449.76
  6. Step 6: Final answer
    x = 598.42

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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.