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Finding the Fourth Proportional to 400.84, 601.38 and 377.08

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Solution

The fourth proportional to 400.84, 601.38 and 377.08 is: 565.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.84 : 601.38 = 377.08 : x
  2. Step 2: Convert to fraction form
    400.84/601.38 = 377.08/x
  3. Step 3: Cross multiply
    400.84x = 601.38 × 377.08
  4. Step 4: Simplify right side
    400.84x = 226,768.37
  5. Step 5: Solve for x
    x = 226,768.37/400.84
  6. Step 6: Final answer
    x = 565.73

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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.