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Finding the Fourth Proportional to 365, 548.36 and 235.24

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Solution

The fourth proportional to 365, 548.36 and 235.24 is: 353.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    365 : 548.36 = 235.24 : x
  2. Step 2: Convert to fraction form
    365/548.36 = 235.24/x
  3. Step 3: Cross multiply
    365x = 548.36 × 235.24
  4. Step 4: Simplify right side
    365x = 128,996.21
  5. Step 5: Solve for x
    x = 128,996.21/365
  6. Step 6: Final answer
    x = 353.41

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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.