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Finding the Fourth Proportional to 341, 508.44 and 322.64

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Solution

The fourth proportional to 341, 508.44 and 322.64 is: 481.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    341 : 508.44 = 322.64 : x
  2. Step 2: Convert to fraction form
    341/508.44 = 322.64/x
  3. Step 3: Cross multiply
    341x = 508.44 × 322.64
  4. Step 4: Simplify right side
    341x = 164,043.08
  5. Step 5: Solve for x
    x = 164,043.08/341
  6. Step 6: Final answer
    x = 481.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.