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Finding the Fourth Proportional to 601.92, 830.49 and 365.68

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Solution

The fourth proportional to 601.92, 830.49 and 365.68 is: 504.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.92 : 830.49 = 365.68 : x
  2. Step 2: Convert to fraction form
    601.92/830.49 = 365.68/x
  3. Step 3: Cross multiply
    601.92x = 830.49 × 365.68
  4. Step 4: Simplify right side
    601.92x = 303,693.58
  5. Step 5: Solve for x
    x = 303,693.58/601.92
  6. Step 6: Final answer
    x = 504.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.