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Finding the Fourth Proportional to 400.35, 601.13 and 255.02

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Solution

The fourth proportional to 400.35, 601.13 and 255.02 is: 382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.35 : 601.13 = 255.02 : x
  2. Step 2: Convert to fraction form
    400.35/601.13 = 255.02/x
  3. Step 3: Cross multiply
    400.35x = 601.13 × 255.02
  4. Step 4: Simplify right side
    400.35x = 153,302.31
  5. Step 5: Solve for x
    x = 153,302.31/400.35
  6. Step 6: Final answer
    x = 382.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.