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Finding the Fourth Proportional to 601.36, 829.96 and 365.32

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Solution

The fourth proportional to 601.36, 829.96 and 365.32 is: 504.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.36 : 829.96 = 365.32 : x
  2. Step 2: Convert to fraction form
    601.36/829.96 = 365.32/x
  3. Step 3: Cross multiply
    601.36x = 829.96 × 365.32
  4. Step 4: Simplify right side
    601.36x = 303,200.99
  5. Step 5: Solve for x
    x = 303,200.99/601.36
  6. Step 6: Final answer
    x = 504.19

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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.