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Finding the Fourth Proportional to 349.28, 524 and 176.03

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Solution

The fourth proportional to 349.28, 524 and 176.03 is: 264.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.28 : 524 = 176.03 : x
  2. Step 2: Convert to fraction form
    349.28/524 = 176.03/x
  3. Step 3: Cross multiply
    349.28x = 524 × 176.03
  4. Step 4: Simplify right side
    349.28x = 92,239.72
  5. Step 5: Solve for x
    x = 92,239.72/349.28
  6. Step 6: Final answer
    x = 264.09

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