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Finding the Fourth Proportional to 395.65, 545.80 and 264.83

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Solution

The fourth proportional to 395.65, 545.80 and 264.83 is: 365.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.65 : 545.80 = 264.83 : x
  2. Step 2: Convert to fraction form
    395.65/545.80 = 264.83/x
  3. Step 3: Cross multiply
    395.65x = 545.80 × 264.83
  4. Step 4: Simplify right side
    395.65x = 144,544.21
  5. Step 5: Solve for x
    x = 144,544.21/395.65
  6. Step 6: Final answer
    x = 365.33

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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.