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Finding the Fourth Proportional to 448.49, 618.63 and 317.27

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Solution

The fourth proportional to 448.49, 618.63 and 317.27 is: 437.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.49 : 618.63 = 317.27 : x
  2. Step 2: Convert to fraction form
    448.49/618.63 = 317.27/x
  3. Step 3: Cross multiply
    448.49x = 618.63 × 317.27
  4. Step 4: Simplify right side
    448.49x = 196,272.74
  5. Step 5: Solve for x
    x = 196,272.74/448.49
  6. Step 6: Final answer
    x = 437.63

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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.