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Finding the Fourth Proportional to 364.20, 545.54 and 286.80

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Solution

The fourth proportional to 364.20, 545.54 and 286.80 is: 429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.20 : 545.54 = 286.80 : x
  2. Step 2: Convert to fraction form
    364.20/545.54 = 286.80/x
  3. Step 3: Cross multiply
    364.20x = 545.54 × 286.80
  4. Step 4: Simplify right side
    364.20x = 156,459.44
  5. Step 5: Solve for x
    x = 156,459.44/364.20
  6. Step 6: Final answer
    x = 429.60

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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.