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Finding the Fourth Proportional to 375.02, 514.50 and 365.44

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Solution

The fourth proportional to 375.02, 514.50 and 365.44 is: 501.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.02 : 514.50 = 365.44 : x
  2. Step 2: Convert to fraction form
    375.02/514.50 = 365.44/x
  3. Step 3: Cross multiply
    375.02x = 514.50 × 365.44
  4. Step 4: Simplify right side
    375.02x = 188,018.88
  5. Step 5: Solve for x
    x = 188,018.88/375.02
  6. Step 6: Final answer
    x = 501.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.