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Finding the Fourth Proportional to 366.03, 504.84 and 338.34

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Solution

The fourth proportional to 366.03, 504.84 and 338.34 is: 466.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.03 : 504.84 = 338.34 : x
  2. Step 2: Convert to fraction form
    366.03/504.84 = 338.34/x
  3. Step 3: Cross multiply
    366.03x = 504.84 × 338.34
  4. Step 4: Simplify right side
    366.03x = 170,807.57
  5. Step 5: Solve for x
    x = 170,807.57/366.03
  6. Step 6: Final answer
    x = 466.65

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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.