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Finding the Fourth Proportional to 365.69, 552.50 and 362.45

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Solution

The fourth proportional to 365.69, 552.50 and 362.45 is: 547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.69 : 552.50 = 362.45 : x
  2. Step 2: Convert to fraction form
    365.69/552.50 = 362.45/x
  3. Step 3: Cross multiply
    365.69x = 552.50 × 362.45
  4. Step 4: Simplify right side
    365.69x = 200,249.05
  5. Step 5: Solve for x
    x = 200,249.05/365.69
  6. Step 6: Final answer
    x = 547.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.