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Finding the Fourth Proportional to 365.50, 548.25 and 284.50

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Solution

The fourth proportional to 365.50, 548.25 and 284.50 is: 426.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.50 : 548.25 = 284.50 : x
  2. Step 2: Convert to fraction form
    365.50/548.25 = 284.50/x
  3. Step 3: Cross multiply
    365.50x = 548.25 × 284.50
  4. Step 4: Simplify right side
    365.50x = 155,977.13
  5. Step 5: Solve for x
    x = 155,977.13/365.50
  6. Step 6: Final answer
    x = 426.75

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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.