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Finding the Fourth Proportional to 601.38, 829.50 and 380.12

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Solution

The fourth proportional to 601.38, 829.50 and 380.12 is: 524.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.38 : 829.50 = 380.12 : x
  2. Step 2: Convert to fraction form
    601.38/829.50 = 380.12/x
  3. Step 3: Cross multiply
    601.38x = 829.50 × 380.12
  4. Step 4: Simplify right side
    601.38x = 315,309.54
  5. Step 5: Solve for x
    x = 315,309.54/601.38
  6. Step 6: Final answer
    x = 524.31

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Double scale
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1.5x scale

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.