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Finding the Fourth Proportional to 366, 504.95 and 241.72

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Solution

The fourth proportional to 366, 504.95 and 241.72 is: 333.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    366 : 504.95 = 241.72 : x
  2. Step 2: Convert to fraction form
    366/504.95 = 241.72/x
  3. Step 3: Cross multiply
    366x = 504.95 × 241.72
  4. Step 4: Simplify right side
    366x = 122,056.51
  5. Step 5: Solve for x
    x = 122,056.51/366
  6. Step 6: Final answer
    x = 333.49

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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.