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Finding the Fourth Proportional to 349.65, 524.73 and 176.27

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Solution

The fourth proportional to 349.65, 524.73 and 176.27 is: 264.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.65 : 524.73 = 176.27 : x
  2. Step 2: Convert to fraction form
    349.65/524.73 = 176.27/x
  3. Step 3: Cross multiply
    349.65x = 524.73 × 176.27
  4. Step 4: Simplify right side
    349.65x = 92,494.16
  5. Step 5: Solve for x
    x = 92,494.16/349.65
  6. Step 6: Final answer
    x = 264.53

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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.