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Finding the Fourth Proportional to 364.62, 545.82 and 241.08

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Solution

The fourth proportional to 364.62, 545.82 and 241.08 is: 360.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.62 : 545.82 = 241.08 : x
  2. Step 2: Convert to fraction form
    364.62/545.82 = 241.08/x
  3. Step 3: Cross multiply
    364.62x = 545.82 × 241.08
  4. Step 4: Simplify right side
    364.62x = 131,586.29
  5. Step 5: Solve for x
    x = 131,586.29/364.62
  6. Step 6: Final answer
    x = 360.89

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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.