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Finding the Fourth Proportional to 365.46, 503.76 and 338.10

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Solution

The fourth proportional to 365.46, 503.76 and 338.10 is: 466.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.46 : 503.76 = 338.10 : x
  2. Step 2: Convert to fraction form
    365.46/503.76 = 338.10/x
  3. Step 3: Cross multiply
    365.46x = 503.76 × 338.10
  4. Step 4: Simplify right side
    365.46x = 170,321.26
  5. Step 5: Solve for x
    x = 170,321.26/365.46
  6. Step 6: Final answer
    x = 466.05

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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.