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Finding the Fourth Proportional to 365.64, 504.24 and 241.08

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Solution

The fourth proportional to 365.64, 504.24 and 241.08 is: 332.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.64 : 504.24 = 241.08 : x
  2. Step 2: Convert to fraction form
    365.64/504.24 = 241.08/x
  3. Step 3: Cross multiply
    365.64x = 504.24 × 241.08
  4. Step 4: Simplify right side
    365.64x = 121,562.18
  5. Step 5: Solve for x
    x = 121,562.18/365.64
  6. Step 6: Final answer
    x = 332.46

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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.