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Finding the Fourth Proportional to 401.62, 551.12 and 364.66

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Solution

The fourth proportional to 401.62, 551.12 and 364.66 is: 500.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.62 : 551.12 = 364.66 : x
  2. Step 2: Convert to fraction form
    401.62/551.12 = 364.66/x
  3. Step 3: Cross multiply
    401.62x = 551.12 × 364.66
  4. Step 4: Simplify right side
    401.62x = 200,971.42
  5. Step 5: Solve for x
    x = 200,971.42/401.62
  6. Step 6: Final answer
    x = 500.40

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.