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Finding the Fourth Proportional to 365.99, 547.68 and 293.33

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Solution

The fourth proportional to 365.99, 547.68 and 293.33 is: 438.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.99 : 547.68 = 293.33 : x
  2. Step 2: Convert to fraction form
    365.99/547.68 = 293.33/x
  3. Step 3: Cross multiply
    365.99x = 547.68 × 293.33
  4. Step 4: Simplify right side
    365.99x = 160,650.25
  5. Step 5: Solve for x
    x = 160,650.25/365.99
  6. Step 6: Final answer
    x = 438.95

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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.