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Finding the Fourth Proportional to 341.52, 470.52 and 326.16

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Solution

The fourth proportional to 341.52, 470.52 and 326.16 is: 449.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.52 : 470.52 = 326.16 : x
  2. Step 2: Convert to fraction form
    341.52/470.52 = 326.16/x
  3. Step 3: Cross multiply
    341.52x = 470.52 × 326.16
  4. Step 4: Simplify right side
    341.52x = 153,464.80
  5. Step 5: Solve for x
    x = 153,464.80/341.52
  6. Step 6: Final answer
    x = 449.36

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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.