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Finding the Fourth Proportional to 366.96, 545.72 and 355.43

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Solution

The fourth proportional to 366.96, 545.72 and 355.43 is: 528.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.96 : 545.72 = 355.43 : x
  2. Step 2: Convert to fraction form
    366.96/545.72 = 355.43/x
  3. Step 3: Cross multiply
    366.96x = 545.72 × 355.43
  4. Step 4: Simplify right side
    366.96x = 193,965.26
  5. Step 5: Solve for x
    x = 193,965.26/366.96
  6. Step 6: Final answer
    x = 528.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.