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Finding the Fourth Proportional to 437.66, 603.72 and 338

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Solution

The fourth proportional to 437.66, 603.72 and 338 is: 466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.66 : 603.72 = 338 : x
  2. Step 2: Convert to fraction form
    437.66/603.72 = 338/x
  3. Step 3: Cross multiply
    437.66x = 603.72 × 338
  4. Step 4: Simplify right side
    437.66x = 204,057.36
  5. Step 5: Solve for x
    x = 204,057.36/437.66
  6. Step 6: Final answer
    x = 466.25

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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.