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Finding the Fourth Proportional to 365.77, 505.24 and 332.91

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Solution

The fourth proportional to 365.77, 505.24 and 332.91 is: 459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.77 : 505.24 = 332.91 : x
  2. Step 2: Convert to fraction form
    365.77/505.24 = 332.91/x
  3. Step 3: Cross multiply
    365.77x = 505.24 × 332.91
  4. Step 4: Simplify right side
    365.77x = 168,198.62
  5. Step 5: Solve for x
    x = 168,198.62/365.77
  6. Step 6: Final answer
    x = 459.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.