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Finding the Fourth Proportional to 365.49, 504.21 and 232.64

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Solution

The fourth proportional to 365.49, 504.21 and 232.64 is: 320.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.49 : 504.21 = 232.64 : x
  2. Step 2: Convert to fraction form
    365.49/504.21 = 232.64/x
  3. Step 3: Cross multiply
    365.49x = 504.21 × 232.64
  4. Step 4: Simplify right side
    365.49x = 117,296.89
  5. Step 5: Solve for x
    x = 117,296.89/365.49
  6. Step 6: Final answer
    x = 320.93

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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.