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Finding the Fourth Proportional to 343.68, 472.24 and 322.08

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Solution

The fourth proportional to 343.68, 472.24 and 322.08 is: 442.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.68 : 472.24 = 322.08 : x
  2. Step 2: Convert to fraction form
    343.68/472.24 = 322.08/x
  3. Step 3: Cross multiply
    343.68x = 472.24 × 322.08
  4. Step 4: Simplify right side
    343.68x = 152,099.06
  5. Step 5: Solve for x
    x = 152,099.06/343.68
  6. Step 6: Final answer
    x = 442.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.