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Finding the Fourth Proportional to 365.19, 504 and 234.24

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Solution

The fourth proportional to 365.19, 504 and 234.24 is: 323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.19 : 504 = 234.24 : x
  2. Step 2: Convert to fraction form
    365.19/504 = 234.24/x
  3. Step 3: Cross multiply
    365.19x = 504 × 234.24
  4. Step 4: Simplify right side
    365.19x = 118,056.96
  5. Step 5: Solve for x
    x = 118,056.96/365.19
  6. Step 6: Final answer
    x = 323.28

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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.