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Finding the Fourth Proportional to 365.23, 546.83 and 284.23

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Solution

The fourth proportional to 365.23, 546.83 and 284.23 is: 425.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.23 : 546.83 = 284.23 : x
  2. Step 2: Convert to fraction form
    365.23/546.83 = 284.23/x
  3. Step 3: Cross multiply
    365.23x = 546.83 × 284.23
  4. Step 4: Simplify right side
    365.23x = 155,425.49
  5. Step 5: Solve for x
    x = 155,425.49/365.23
  6. Step 6: Final answer
    x = 425.56

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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.