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Finding the Fourth Proportional to 366.13, 504.55 and 234.91

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Solution

The fourth proportional to 366.13, 504.55 and 234.91 is: 323.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.13 : 504.55 = 234.91 : x
  2. Step 2: Convert to fraction form
    366.13/504.55 = 234.91/x
  3. Step 3: Cross multiply
    366.13x = 504.55 × 234.91
  4. Step 4: Simplify right side
    366.13x = 118,523.84
  5. Step 5: Solve for x
    x = 118,523.84/366.13
  6. Step 6: Final answer
    x = 323.72

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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.