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Finding the Fourth Proportional to 365.55, 548.33 and 296.75

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Solution

The fourth proportional to 365.55, 548.33 and 296.75 is: 445.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.55 : 548.33 = 296.75 : x
  2. Step 2: Convert to fraction form
    365.55/548.33 = 296.75/x
  3. Step 3: Cross multiply
    365.55x = 548.33 × 296.75
  4. Step 4: Simplify right side
    365.55x = 162,712.70
  5. Step 5: Solve for x
    x = 162,712.70/365.55
  6. Step 6: Final answer
    x = 445.12

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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.