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Finding the Fourth Proportional to 449.22, 619.29 and 317.82

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Solution

The fourth proportional to 449.22, 619.29 and 317.82 is: 438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.22 : 619.29 = 317.82 : x
  2. Step 2: Convert to fraction form
    449.22/619.29 = 317.82/x
  3. Step 3: Cross multiply
    449.22x = 619.29 × 317.82
  4. Step 4: Simplify right side
    449.22x = 196,822.75
  5. Step 5: Solve for x
    x = 196,822.75/449.22
  6. Step 6: Final answer
    x = 438.14

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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.