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Finding the Fourth Proportional to 364.60, 545.83 and 240.97

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Solution

The fourth proportional to 364.60, 545.83 and 240.97 is: 360.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.60 : 545.83 = 240.97 : x
  2. Step 2: Convert to fraction form
    364.60/545.83 = 240.97/x
  3. Step 3: Cross multiply
    364.60x = 545.83 × 240.97
  4. Step 4: Simplify right side
    364.60x = 131,528.66
  5. Step 5: Solve for x
    x = 131,528.66/364.60
  6. Step 6: Final answer
    x = 360.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.