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Finding the Fourth Proportional to 448.52, 617.84 and 323.82

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Solution

The fourth proportional to 448.52, 617.84 and 323.82 is: 446.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.52 : 617.84 = 323.82 : x
  2. Step 2: Convert to fraction form
    448.52/617.84 = 323.82/x
  3. Step 3: Cross multiply
    448.52x = 617.84 × 323.82
  4. Step 4: Simplify right side
    448.52x = 200,068.95
  5. Step 5: Solve for x
    x = 200,068.95/448.52
  6. Step 6: Final answer
    x = 446.06

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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.