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Finding the Fourth Proportional to 364.06, 545.32 and 276.44

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Solution

The fourth proportional to 364.06, 545.32 and 276.44 is: 414.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.06 : 545.32 = 276.44 : x
  2. Step 2: Convert to fraction form
    364.06/545.32 = 276.44/x
  3. Step 3: Cross multiply
    364.06x = 545.32 × 276.44
  4. Step 4: Simplify right side
    364.06x = 150,748.26
  5. Step 5: Solve for x
    x = 150,748.26/364.06
  6. Step 6: Final answer
    x = 414.08

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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.