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Finding the Fourth Proportional to 395.45, 545.43 and 290.50

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Solution

The fourth proportional to 395.45, 545.43 and 290.50 is: 400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.45 : 545.43 = 290.50 : x
  2. Step 2: Convert to fraction form
    395.45/545.43 = 290.50/x
  3. Step 3: Cross multiply
    395.45x = 545.43 × 290.50
  4. Step 4: Simplify right side
    395.45x = 158,447.42
  5. Step 5: Solve for x
    x = 158,447.42/395.45
  6. Step 6: Final answer
    x = 400.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.