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Finding the Fourth Proportional to 449.65, 620.49 and 253.16

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Solution

The fourth proportional to 449.65, 620.49 and 253.16 is: 349.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.65 : 620.49 = 253.16 : x
  2. Step 2: Convert to fraction form
    449.65/620.49 = 253.16/x
  3. Step 3: Cross multiply
    449.65x = 620.49 × 253.16
  4. Step 4: Simplify right side
    449.65x = 157,083.42
  5. Step 5: Solve for x
    x = 157,083.42/449.65
  6. Step 6: Final answer
    x = 349.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.