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Finding the Fourth Proportional to 448.52, 618.05 and 343.61

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Solution

The fourth proportional to 448.52, 618.05 and 343.61 is: 473.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.52 : 618.05 = 343.61 : x
  2. Step 2: Convert to fraction form
    448.52/618.05 = 343.61/x
  3. Step 3: Cross multiply
    448.52x = 618.05 × 343.61
  4. Step 4: Simplify right side
    448.52x = 212,366.31
  5. Step 5: Solve for x
    x = 212,366.31/448.52
  6. Step 6: Final answer
    x = 473.48

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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.