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Finding the Fourth Proportional to 365.92, 547.63 and 315.23

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Solution

The fourth proportional to 365.92, 547.63 and 315.23 is: 471.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.92 : 547.63 = 315.23 : x
  2. Step 2: Convert to fraction form
    365.92/547.63 = 315.23/x
  3. Step 3: Cross multiply
    365.92x = 547.63 × 315.23
  4. Step 4: Simplify right side
    365.92x = 172,625.88
  5. Step 5: Solve for x
    x = 172,625.88/365.92
  6. Step 6: Final answer
    x = 471.76

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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.