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Finding the Fourth Proportional to 449.61, 620.47 and 253.13

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Solution

The fourth proportional to 449.61, 620.47 and 253.13 is: 349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.61 : 620.47 = 253.13 : x
  2. Step 2: Convert to fraction form
    449.61/620.47 = 253.13/x
  3. Step 3: Cross multiply
    449.61x = 620.47 × 253.13
  4. Step 4: Simplify right side
    449.61x = 157,057.14
  5. Step 5: Solve for x
    x = 157,057.14/449.61
  6. Step 6: Final answer
    x = 349.32

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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.