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Finding the Fourth Proportional to 436.84, 601.75 and 338.42

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Solution

The fourth proportional to 436.84, 601.75 and 338.42 is: 466.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.84 : 601.75 = 338.42 : x
  2. Step 2: Convert to fraction form
    436.84/601.75 = 338.42/x
  3. Step 3: Cross multiply
    436.84x = 601.75 × 338.42
  4. Step 4: Simplify right side
    436.84x = 203,644.24
  5. Step 5: Solve for x
    x = 203,644.24/436.84
  6. Step 6: Final answer
    x = 466.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.