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Finding the Fourth Proportional to 365.93, 552.87 and 362.69

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Solution

The fourth proportional to 365.93, 552.87 and 362.69 is: 547.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.93 : 552.87 = 362.69 : x
  2. Step 2: Convert to fraction form
    365.93/552.87 = 362.69/x
  3. Step 3: Cross multiply
    365.93x = 552.87 × 362.69
  4. Step 4: Simplify right side
    365.93x = 200,520.42
  5. Step 5: Solve for x
    x = 200,520.42/365.93
  6. Step 6: Final answer
    x = 547.97

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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.