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Finding the Fourth Proportional to 338.48, 466.05 and 324.64

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Solution

The fourth proportional to 338.48, 466.05 and 324.64 is: 446.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.48 : 466.05 = 324.64 : x
  2. Step 2: Convert to fraction form
    338.48/466.05 = 324.64/x
  3. Step 3: Cross multiply
    338.48x = 466.05 × 324.64
  4. Step 4: Simplify right side
    338.48x = 151,298.47
  5. Step 5: Solve for x
    x = 151,298.47/338.48
  6. Step 6: Final answer
    x = 446.99

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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.