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Finding the Fourth Proportional to 601.38, 829.62 and 380.16

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Solution

The fourth proportional to 601.38, 829.62 and 380.16 is: 524.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.38 : 829.62 = 380.16 : x
  2. Step 2: Convert to fraction form
    601.38/829.62 = 380.16/x
  3. Step 3: Cross multiply
    601.38x = 829.62 × 380.16
  4. Step 4: Simplify right side
    601.38x = 315,388.34
  5. Step 5: Solve for x
    x = 315,388.34/601.38
  6. Step 6: Final answer
    x = 524.44

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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.