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Finding the Fourth Proportional to 400.38, 601.62 and 349.15

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Solution

The fourth proportional to 400.38, 601.62 and 349.15 is: 524.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.38 : 601.62 = 349.15 : x
  2. Step 2: Convert to fraction form
    400.38/601.62 = 349.15/x
  3. Step 3: Cross multiply
    400.38x = 601.62 × 349.15
  4. Step 4: Simplify right side
    400.38x = 210,055.62
  5. Step 5: Solve for x
    x = 210,055.62/400.38
  6. Step 6: Final answer
    x = 524.64

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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.