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Finding the Fourth Proportional to 349.17, 524.66 and 327.30

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Solution

The fourth proportional to 349.17, 524.66 and 327.30 is: 491.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.17 : 524.66 = 327.30 : x
  2. Step 2: Convert to fraction form
    349.17/524.66 = 327.30/x
  3. Step 3: Cross multiply
    349.17x = 524.66 × 327.30
  4. Step 4: Simplify right side
    349.17x = 171,719.58
  5. Step 5: Solve for x
    x = 171,719.58/349.17
  6. Step 6: Final answer
    x = 491.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.